diff --git a/src/backend/access/spgist/spgutils.c b/src/backend/access/spgist/spgutils.c
index 3f793125f7..76b80146ff 100644
--- a/src/backend/access/spgist/spgutils.c
+++ b/src/backend/access/spgist/spgutils.c
@@ -358,8 +358,19 @@ initSpGistState(SpGistState *state, Relation index)
 	/* Make workspace for constructing dead tuples */
 	state->deadTupleStorage = palloc0(SGDTSIZE);
 
-	/* Set XID to use in redirection tuples */
-	state->myXid = GetTopTransactionIdIfAny();
+	/*
+	 * Set horizon XID to use in redirection tuples.  Use our own XID if we
+	 * have one, else use InvalidTransactionId.  The latter case can happen in
+	 * VACUUM or REINDEX CONCURRENTLY, and in neither case would it be okay to
+	 * force an XID to be assigned.  VACUUM won't create any redirection
+	 * tuples anyway, but REINDEX CONCURRENTLY can.  Fortunately, REINDEX
+	 * CONCURRENTLY doesn't mark the index valid until the end, so there could
+	 * never be any concurrent scans "in flight" to a redirection tuple it has
+	 * inserted.  And it locks out VACUUM until the end, too.  So it's okay
+	 * for VACUUM to immediately expire a redirection tuple that contains an
+	 * invalid xid.
+	 */
+	state->redirectXid = GetTopTransactionIdIfAny();
 
 	/* Assume we're not in an index build (spgbuild will override) */
 	state->isBuild = false;
@@ -1075,8 +1086,7 @@ spgFormDeadTuple(SpGistState *state, int tupstate,
 	if (tupstate == SPGIST_REDIRECT)
 	{
 		ItemPointerSet(&tuple->pointer, blkno, offnum);
-		Assert(TransactionIdIsValid(state->myXid));
-		tuple->xid = state->myXid;
+		tuple->xid = state->redirectXid;
 	}
 	else
 	{
diff --git a/src/backend/access/spgist/spgvacuum.c b/src/backend/access/spgist/spgvacuum.c
index d2e1624924..0da069fd4d 100644
--- a/src/backend/access/spgist/spgvacuum.c
+++ b/src/backend/access/spgist/spgvacuum.c
@@ -188,7 +188,9 @@ vacuumLeafPage(spgBulkDeleteState *bds, Relation index, Buffer buffer,
 
 			/*
 			 * Add target TID to pending list if the redirection could have
-			 * happened since VACUUM started.
+			 * happened since VACUUM started.  (If xid is invalid, assume it
+			 * must have happened before VACUUM started, since REINDEX
+			 * CONCURRENTLY locks out VACUUM.)
 			 *
 			 * Note: we could make a tighter test by seeing if the xid is
 			 * "running" according to the active snapshot; but snapmgr.c
@@ -523,8 +525,17 @@ vacuumRedirectAndPlaceholder(Relation index, Relation heaprel, Buffer buffer)
 
 		dt = (SpGistDeadTuple) PageGetItem(page, PageGetItemId(page, i));
 
+		/*
+		 * We can convert a REDIRECT to a PLACEHOLDER if there could no longer
+		 * be any index scans "in flight" to it.  Such an index scan would
+		 * have to be in a transaction whose snapshot sees the REDIRECT's XID
+		 * as still running, so comparing the XID against global xmin is a
+		 * conservatively safe test.  If the XID is invalid, it must have been
+		 * inserted by REINDEX CONCURRENTLY, so we can zap it immediately.
+		 */
 		if (dt->tupstate == SPGIST_REDIRECT &&
-			GlobalVisTestIsRemovableXid(vistest, dt->xid))
+			(!TransactionIdIsValid(dt->xid) ||
+			 GlobalVisTestIsRemovableXid(vistest, dt->xid)))
 		{
 			dt->tupstate = SPGIST_PLACEHOLDER;
 			Assert(opaque->nRedirection > 0);
diff --git a/src/backend/access/spgist/spgxlog.c b/src/backend/access/spgist/spgxlog.c
index 11d006998e..4e31d33e70 100644
--- a/src/backend/access/spgist/spgxlog.c
+++ b/src/backend/access/spgist/spgxlog.c
@@ -36,7 +36,7 @@ fillFakeState(SpGistState *state, spgxlogState stateSrc)
 {
 	memset(state, 0, sizeof(*state));
 
-	state->myXid = stateSrc.myXid;
+	state->redirectXid = stateSrc.redirectXid;
 	state->isBuild = stateSrc.isBuild;
 	state->deadTupleStorage = palloc0(SGDTSIZE);
 }
diff --git a/src/include/access/spgist_private.h b/src/include/access/spgist_private.h
index 2e9c757b30..e7cbe10a89 100644
--- a/src/include/access/spgist_private.h
+++ b/src/include/access/spgist_private.h
@@ -157,7 +157,7 @@ typedef struct SpGistState
 
 	char	   *deadTupleStorage;	/* workspace for spgFormDeadTuple */
 
-	TransactionId myXid;		/* XID to use when creating a redirect tuple */
+	TransactionId redirectXid;	/* XID to use when creating a redirect tuple */
 	bool		isBuild;		/* true if doing index build */
 } SpGistState;
 
@@ -421,7 +421,8 @@ typedef struct SpGistLeafTupleData
  * field, to satisfy some Asserts that we make when replacing a leaf tuple
  * with a dead tuple.
  * We don't use t_info, but it's needed to align the pointer field.
- * pointer and xid are only valid when tupstate = REDIRECT.
+ * pointer and xid are only valid when tupstate = REDIRECT, and in some
+ * cases xid can be InvalidTransactionId even then; see initSpGistState.
  */
 typedef struct SpGistDeadTupleData
 {
@@ -464,7 +465,7 @@ typedef SpGistDeadTupleData *SpGistDeadTuple;
 
 #define STORE_STATE(s, d)  \
 	do { \
-		(d).myXid = (s)->myXid; \
+		(d).redirectXid = (s)->redirectXid; \
 		(d).isBuild = (s)->isBuild; \
 	} while(0)
 
diff --git a/src/include/access/spgxlog.h b/src/include/access/spgxlog.h
index a08f0dc8d5..16cc735001 100644
--- a/src/include/access/spgxlog.h
+++ b/src/include/access/spgxlog.h
@@ -35,7 +35,7 @@
  */
 typedef struct spgxlogState
 {
-	TransactionId myXid;
+	TransactionId redirectXid;
 	bool		isBuild;
 } spgxlogState;