diff --git a/src/include/catalog/index.h b/src/include/catalog/index.h
index a2890c1314..51723a8d8d 100644
--- a/src/include/catalog/index.h
+++ b/src/include/catalog/index.h
@@ -115,6 +115,8 @@ extern bool CompareIndexInfo(IndexInfo *info1, IndexInfo *info2,
 
 extern void BuildSpeculativeIndexInfo(Relation index, IndexInfo *ii);
 
+extern bool RelationSupportsConcurrentIndexing(Oid relid);
+
 extern void FormIndexDatum(IndexInfo *indexInfo,
 						   TupleTableSlot *slot,
 						   EState *estate,
diff --git a/src/backend/catalog/index.c b/src/backend/catalog/index.c
index 3e59e647e5..4139232b51 100644
--- a/src/backend/catalog/index.c
+++ b/src/backend/catalog/index.c
@@ -2016,6 +2016,13 @@ index_drop(Oid indexId, bool concurrent, bool concurrent_lock_mode)
 	LOCKTAG		heaplocktag;
 	LOCKMODE	lockmode;
 
+	/*
+	 * A relation not supporting concurrent indexing should never do
+	 * a concurrent index drop or try to use a concurrent lock mode.
+	 */
+	Assert(RelationSupportsConcurrentIndexing(indexId) ||
+		   (!concurrent && !concurrent_lock_mode));
+
 	/*
 	 * To drop an index safely, we must grab exclusive lock on its parent
 	 * table.  Exclusive lock on the index alone is insufficient because
@@ -2108,6 +2115,9 @@ index_drop(Oid indexId, bool concurrent, bool concurrent_lock_mode)
 		 */
 		CacheInvalidateRelcache(userHeapRelation);
 
+		/* Relation had better support concurrent indexing */
+		Assert(RelationSupportsConcurrentIndexing(indexId));
+
 		/* save lockrelid and locktag for below, then close but keep locks */
 		heaprelid = userHeapRelation->rd_lockInfo.lockRelId;
 		SET_LOCKTAG_RELATION(heaplocktag, heaprelid.dbId, heaprelid.relId);
@@ -2490,6 +2500,30 @@ CompareIndexInfo(IndexInfo *info1, IndexInfo *info2,
 	return true;
 }
 
+/*
+ * RelationSupportsConcurrentIndexing
+ *
+ * Check if a relation supports concurrent builds or not.  This is used
+ * before processing CREATE INDEX, DROP INDEX or REINDEX when using
+ * CONCURRENTLY to decide if the operation is supported.
+ */
+bool
+RelationSupportsConcurrentIndexing(Oid relid)
+{
+	/*
+	 * Build indexes non-concurrently for temporary relations.  Such
+	 * relations only work with the session assigned to them, so they are
+	 * not subject to concurrent concerns, and a concurrent build would
+	 * cause issues with ON COMMIT actions triggered by the transactions
+	 * of the concurrent build.  A non-concurrent reindex is also more
+	 * efficient in this case.
+	 */
+	if (get_rel_persistence(relid) == RELPERSISTENCE_TEMP)
+		return false;
+
+	return true;
+}
+
 /* ----------------
  *		BuildSpeculativeIndexInfo
  *			Add extra state to IndexInfo record
diff --git a/src/backend/commands/indexcmds.c b/src/backend/commands/indexcmds.c
index 52ce02f898..d63a885638 100644
--- a/src/backend/commands/indexcmds.c
+++ b/src/backend/commands/indexcmds.c
@@ -485,6 +485,13 @@ DefineIndex(Oid relationId,
 								 GUC_ACTION_SAVE, true, 0, false);
 	}
 
+	/*
+	 * Enforce non-concurrent build if the relation does not support this
+	 * option.  Do this before any use of the concurrent option is done.
+	 */
+	if (!RelationSupportsConcurrentIndexing(relationId))
+		stmt->concurrent = false;
+
 	/*
 	 * Start progress report.  If we're building a partition, this was already
 	 * done.
@@ -2347,7 +2354,7 @@ ReindexIndex(RangeVar *indexRelation, int options, bool concurrent)
 	persistence = irel->rd_rel->relpersistence;
 	index_close(irel, NoLock);
 
-	if (concurrent)
+	if (concurrent && RelationSupportsConcurrentIndexing(indOid))
 		ReindexRelationConcurrently(indOid, options);
 	else
 		reindex_index(indOid, false, persistence,
@@ -2440,7 +2447,8 @@ ReindexTable(RangeVar *relation, int options, bool concurrent)
 									   0,
 									   RangeVarCallbackOwnsTable, NULL);
 
-	if (concurrent)
+	if (concurrent &&
+		RelationSupportsConcurrentIndexing(heapOid))
 	{
 		result = ReindexRelationConcurrently(heapOid, options);
 
@@ -2646,7 +2654,8 @@ ReindexMultipleTables(const char *objectName, ReindexObjectType objectKind,
 		/* functions in indexes may want a snapshot set */
 		PushActiveSnapshot(GetTransactionSnapshot());
 
-		if (concurrent)
+		if (concurrent &&
+			RelationSupportsConcurrentIndexing(relid))
 		{
 			(void) ReindexRelationConcurrently(relid, options);
 			/* ReindexRelationConcurrently() does the verbose output */
@@ -2769,6 +2778,9 @@ ReindexRelationConcurrently(Oid relationOid, int options)
 				/* Open relation to get its indexes */
 				heapRelation = table_open(relationOid, ShareUpdateExclusiveLock);
 
+				/* Relation had better support concurrent indexing */
+				Assert(RelationSupportsConcurrentIndexing(relationOid));
+
 				/* Add all the valid indexes of relation to list */
 				foreach(lc, RelationGetIndexList(heapRelation))
 				{
@@ -2862,6 +2874,9 @@ ReindexRelationConcurrently(Oid relationOid, int options)
 				/* Save the list of relation OIDs in private context */
 				oldcontext = MemoryContextSwitchTo(private_context);
 
+				/* Relation had better support concurrent indexing */
+				Assert(RelationSupportsConcurrentIndexing(heapId));
+
 				/* Track the heap relation of this index for session locks */
 				heapRelationIds = list_make1_oid(heapId);
 
@@ -2937,6 +2952,13 @@ ReindexRelationConcurrently(Oid relationOid, int options)
 		heapRel = table_open(indexRel->rd_index->indrelid,
 							 ShareUpdateExclusiveLock);
 
+		/*
+		 * Also check for active uses of the relation in the current
+		 * transaction, including open scans and pending AFTER trigger
+		 * events.
+		 */
+		CheckTableNotInUse(indexRel, "REINDEX");
+
 		pgstat_progress_start_command(PROGRESS_COMMAND_CREATE_INDEX,
 									  RelationGetRelid(heapRel));
 		pgstat_progress_update_param(PROGRESS_CREATEIDX_COMMAND,
diff --git a/src/backend/commands/tablecmds.c b/src/backend/commands/tablecmds.c
index 2ec3fc5014..7bcd08a479 100644
--- a/src/backend/commands/tablecmds.c
+++ b/src/backend/commands/tablecmds.c
@@ -1239,7 +1239,11 @@ RemoveRelations(DropStmt *drop)
 	/* DROP CONCURRENTLY uses a weaker lock, and has some restrictions */
 	if (drop->concurrent)
 	{
-		flags |= PERFORM_DELETION_CONCURRENTLY;
+		/*
+		 * Note that for temporary relations this lock may get upgraded
+		 * later on, but as a session is the only able to work on its
+		 * temporary relations, this is actually fine.
+		 */
 		lockmode = ShareUpdateExclusiveLock;
 		Assert(drop->removeType == OBJECT_INDEX);
 		if (list_length(drop->objects) != 1)
@@ -1330,6 +1334,19 @@ RemoveRelations(DropStmt *drop)
 			continue;
 		}
 
+		/*
+		 * Decide if concurrent mode needs to be used here or not.  There
+		 * is no way to know if the relation supports concurrent indexing or
+		 * not without knowing its OID, so this is not done beforehand.
+		 */
+		if (drop->concurrent &&
+			RelationSupportsConcurrentIndexing(relOid))
+		{
+			Assert(list_length(drop->objects) == 1 &&
+				   drop->removeType == OBJECT_INDEX);
+			flags |= PERFORM_DELETION_CONCURRENTLY;
+		}
+
 		/* OK, we're ready to delete this one */
 		obj.classId = RelationRelationId;
 		obj.objectId = relOid;
diff --git a/src/test/regress/expected/create_index.out b/src/test/regress/expected/create_index.out
index 6446907a65..cf1a0ca2f2 100644
--- a/src/test/regress/expected/create_index.out
+++ b/src/test/regress/expected/create_index.out
@@ -1435,6 +1435,31 @@ Indexes:
     "concur_index5" btree (f2) WHERE f1 = 'x'::text
     "std_index" btree (f2)
 
+-- Temporary tables with concurrent builds and on-commit actions
+-- CONCURRENTLY used with CREATE INDEX and DROP INDEX is ignored.
+-- PRESERVE ROWS, the default.
+CREATE TEMP TABLE concur_temp (f1 int, f2 text)
+  ON COMMIT PRESERVE ROWS;
+INSERT INTO concur_temp VALUES (1, 'foo'), (2, 'bar');
+CREATE INDEX CONCURRENTLY concur_temp_ind ON concur_temp(f1);
+DROP INDEX CONCURRENTLY concur_temp_ind;
+DROP TABLE concur_temp;
+-- ON COMMIT DROP
+BEGIN;
+CREATE TEMP TABLE concur_temp (f1 int, f2 text)
+  ON COMMIT DROP;
+INSERT INTO concur_temp VALUES (1, 'foo'), (2, 'bar');
+-- Fails when running in a transaction.
+CREATE INDEX CONCURRENTLY concur_temp_ind ON concur_temp(f1);
+ERROR:  CREATE INDEX CONCURRENTLY cannot run inside a transaction block
+COMMIT;
+-- ON COMMIT DELETE ROWS
+CREATE TEMP TABLE concur_temp (f1 int, f2 text)
+  ON COMMIT DELETE ROWS;
+INSERT INTO concur_temp VALUES (1, 'foo'), (2, 'bar');
+CREATE INDEX CONCURRENTLY concur_temp_ind ON concur_temp(f1);
+DROP INDEX CONCURRENTLY concur_temp_ind;
+DROP TABLE concur_temp;
 --
 -- Try some concurrent index drops
 --
@@ -2418,6 +2443,55 @@ SELECT pg_get_indexdef('concur_exprs_index_pred_2'::regclass);
 (1 row)
 
 DROP TABLE concur_exprs_tab;
+-- Temporary tables and on-commit actions, where CONCURRENTLY is ignored.
+-- ON COMMIT PRESERVE ROWS, the default.
+CREATE TEMP TABLE concur_temp_tab_1 (c1 int, c2 text)
+  ON COMMIT PRESERVE ROWS;
+INSERT INTO concur_temp_tab_1 VALUES (1, 'foo'), (2, 'bar');
+CREATE INDEX concur_temp_ind_1 ON concur_temp_tab_1(c2);
+REINDEX TABLE CONCURRENTLY concur_temp_tab_1;
+REINDEX INDEX CONCURRENTLY concur_temp_ind_1;
+-- Still fails in transaction blocks
+BEGIN;
+REINDEX INDEX CONCURRENTLY concur_temp_ind_1;
+ERROR:  REINDEX CONCURRENTLY cannot run inside a transaction block
+COMMIT;
+-- ON COMMIT DELETE ROWS
+CREATE TEMP TABLE concur_temp_tab_2 (c1 int, c2 text)
+  ON COMMIT DELETE ROWS;
+CREATE INDEX concur_temp_ind_2 ON concur_temp_tab_2(c2);
+REINDEX TABLE CONCURRENTLY concur_temp_tab_2;
+REINDEX INDEX CONCURRENTLY concur_temp_ind_2;
+-- ON COMMIT DROP
+BEGIN;
+CREATE TEMP TABLE concur_temp_tab_3 (c1 int, c2 text)
+  ON COMMIT PRESERVE ROWS;
+INSERT INTO concur_temp_tab_3 VALUES (1, 'foo'), (2, 'bar');
+CREATE INDEX concur_temp_ind_3 ON concur_temp_tab_3(c2);
+-- Fails when running in a transaction
+REINDEX INDEX CONCURRENTLY concur_temp_ind_3;
+ERROR:  REINDEX CONCURRENTLY cannot run inside a transaction block
+COMMIT;
+-- REINDEX SCHEMA processes all temporary relations
+CREATE TABLE reindex_temp_before AS
+SELECT oid, relname, relfilenode, relkind, reltoastrelid
+  FROM pg_class
+  WHERE relname IN ('concur_temp_ind_1', 'concur_temp_ind_2');
+SELECT pg_my_temp_schema()::regnamespace as temp_schema_name \gset
+REINDEX SCHEMA :temp_schema_name;
+SELECT  b.relname,
+        b.relkind,
+        CASE WHEN a.relfilenode = b.relfilenode THEN 'relfilenode is unchanged'
+        ELSE 'relfilenode has changed' END
+  FROM reindex_temp_before b JOIN pg_class a ON b.oid = a.oid
+  ORDER BY 1;
+      relname      | relkind |          case           
+-------------------+---------+-------------------------
+ concur_temp_ind_1 | i       | relfilenode has changed
+ concur_temp_ind_2 | i       | relfilenode has changed
+(2 rows)
+
+DROP TABLE concur_temp_tab_1, concur_temp_tab_2, reindex_temp_before;
 --
 -- REINDEX SCHEMA
 --
diff --git a/src/test/regress/sql/create_index.sql b/src/test/regress/sql/create_index.sql
index 3c0c1cdc5e..5bc9da440e 100644
--- a/src/test/regress/sql/create_index.sql
+++ b/src/test/regress/sql/create_index.sql
@@ -501,6 +501,31 @@ VACUUM FULL concur_heap;
 REINDEX TABLE concur_heap;
 \d concur_heap
 
+-- Temporary tables with concurrent builds and on-commit actions
+-- CONCURRENTLY used with CREATE INDEX and DROP INDEX is ignored.
+-- PRESERVE ROWS, the default.
+CREATE TEMP TABLE concur_temp (f1 int, f2 text)
+  ON COMMIT PRESERVE ROWS;
+INSERT INTO concur_temp VALUES (1, 'foo'), (2, 'bar');
+CREATE INDEX CONCURRENTLY concur_temp_ind ON concur_temp(f1);
+DROP INDEX CONCURRENTLY concur_temp_ind;
+DROP TABLE concur_temp;
+-- ON COMMIT DROP
+BEGIN;
+CREATE TEMP TABLE concur_temp (f1 int, f2 text)
+  ON COMMIT DROP;
+INSERT INTO concur_temp VALUES (1, 'foo'), (2, 'bar');
+-- Fails when running in a transaction.
+CREATE INDEX CONCURRENTLY concur_temp_ind ON concur_temp(f1);
+COMMIT;
+-- ON COMMIT DELETE ROWS
+CREATE TEMP TABLE concur_temp (f1 int, f2 text)
+  ON COMMIT DELETE ROWS;
+INSERT INTO concur_temp VALUES (1, 'foo'), (2, 'bar');
+CREATE INDEX CONCURRENTLY concur_temp_ind ON concur_temp(f1);
+DROP INDEX CONCURRENTLY concur_temp_ind;
+DROP TABLE concur_temp;
+
 --
 -- Try some concurrent index drops
 --
@@ -972,6 +997,48 @@ SELECT pg_get_indexdef('concur_exprs_index_pred'::regclass);
 SELECT pg_get_indexdef('concur_exprs_index_pred_2'::regclass);
 DROP TABLE concur_exprs_tab;
 
+-- Temporary tables and on-commit actions, where CONCURRENTLY is ignored.
+-- ON COMMIT PRESERVE ROWS, the default.
+CREATE TEMP TABLE concur_temp_tab_1 (c1 int, c2 text)
+  ON COMMIT PRESERVE ROWS;
+INSERT INTO concur_temp_tab_1 VALUES (1, 'foo'), (2, 'bar');
+CREATE INDEX concur_temp_ind_1 ON concur_temp_tab_1(c2);
+REINDEX TABLE CONCURRENTLY concur_temp_tab_1;
+REINDEX INDEX CONCURRENTLY concur_temp_ind_1;
+-- Still fails in transaction blocks
+BEGIN;
+REINDEX INDEX CONCURRENTLY concur_temp_ind_1;
+COMMIT;
+-- ON COMMIT DELETE ROWS
+CREATE TEMP TABLE concur_temp_tab_2 (c1 int, c2 text)
+  ON COMMIT DELETE ROWS;
+CREATE INDEX concur_temp_ind_2 ON concur_temp_tab_2(c2);
+REINDEX TABLE CONCURRENTLY concur_temp_tab_2;
+REINDEX INDEX CONCURRENTLY concur_temp_ind_2;
+-- ON COMMIT DROP
+BEGIN;
+CREATE TEMP TABLE concur_temp_tab_3 (c1 int, c2 text)
+  ON COMMIT PRESERVE ROWS;
+INSERT INTO concur_temp_tab_3 VALUES (1, 'foo'), (2, 'bar');
+CREATE INDEX concur_temp_ind_3 ON concur_temp_tab_3(c2);
+-- Fails when running in a transaction
+REINDEX INDEX CONCURRENTLY concur_temp_ind_3;
+COMMIT;
+-- REINDEX SCHEMA processes all temporary relations
+CREATE TABLE reindex_temp_before AS
+SELECT oid, relname, relfilenode, relkind, reltoastrelid
+  FROM pg_class
+  WHERE relname IN ('concur_temp_ind_1', 'concur_temp_ind_2');
+SELECT pg_my_temp_schema()::regnamespace as temp_schema_name \gset
+REINDEX SCHEMA :temp_schema_name;
+SELECT  b.relname,
+        b.relkind,
+        CASE WHEN a.relfilenode = b.relfilenode THEN 'relfilenode is unchanged'
+        ELSE 'relfilenode has changed' END
+  FROM reindex_temp_before b JOIN pg_class a ON b.oid = a.oid
+  ORDER BY 1;
+DROP TABLE concur_temp_tab_1, concur_temp_tab_2, reindex_temp_before;
+
 --
 -- REINDEX SCHEMA
 --
diff --git a/doc/src/sgml/ref/create_index.sgml b/doc/src/sgml/ref/create_index.sgml
index 629a31ef79..ab362a0dc5 100644
--- a/doc/src/sgml/ref/create_index.sgml
+++ b/doc/src/sgml/ref/create_index.sgml
@@ -129,6 +129,11 @@ CREATE [ UNIQUE ] INDEX [ CONCURRENTLY ] [ [ IF NOT EXISTS ] <replaceable class=
         &mdash; see <xref linkend="sql-createindex-concurrently"
         endterm="sql-createindex-concurrently-title"/>.
        </para>
+       <para>
+        For temporary tables, <command>CREATE INDEX</command> is always
+        non-concurrent, as no other session can access them, and
+        non-concurrent index creation is cheaper.
+       </para>
       </listitem>
      </varlistentry>
 
diff --git a/doc/src/sgml/ref/drop_index.sgml b/doc/src/sgml/ref/drop_index.sgml
index 2a8ca5bf68..0aedd71bd6 100644
--- a/doc/src/sgml/ref/drop_index.sgml
+++ b/doc/src/sgml/ref/drop_index.sgml
@@ -58,6 +58,11 @@ DROP INDEX [ CONCURRENTLY ] [ IF EXISTS ] <replaceable class="parameter">name</r
       performed within a transaction block, but
       <command>DROP INDEX CONCURRENTLY</command> cannot.
      </para>
+     <para>
+      For temporary tables, <command>DROP INDEX</command> is always
+      non-concurrent, as no other session can access them, and
+      non-concurrent index drop is cheaper.
+     </para>
     </listitem>
    </varlistentry>
 
diff --git a/doc/src/sgml/ref/reindex.sgml b/doc/src/sgml/ref/reindex.sgml
index 5aa59d3b75..0cc19b86ee 100644
--- a/doc/src/sgml/ref/reindex.sgml
+++ b/doc/src/sgml/ref/reindex.sgml
@@ -166,6 +166,11 @@ REINDEX [ ( <replaceable class="parameter">option</replaceable> [, ...] ) ] { IN
       &mdash; see <xref linkend="sql-reindex-concurrently"
       endterm="sql-reindex-concurrently-title"/>.
      </para>
+     <para>
+      For temporary tables, <command>REINDEX</command> is always
+      non-concurrent, as no other session can access them, and
+      non-concurrent index creation is cheaper.
+     </para>
     </listitem>
    </varlistentry>
 
