diff --git a/src/backend/optimizer/plan/planner.c b/src/backend/optimizer/plan/planner.c
index 342d782c74b..2e2e7acf195 100644
--- a/src/backend/optimizer/plan/planner.c
+++ b/src/backend/optimizer/plan/planner.c
@@ -147,6 +147,7 @@ static double preprocess_limit(PlannerInfo *root,
 							   double tuple_fraction,
 							   int64 *offset_est, int64 *count_est);
 static List *preprocess_groupclause(PlannerInfo *root, List *force);
+static bool has_empty_grouping_set(List *groupingSets);
 static List *extract_rollup_sets(List *groupingSets);
 static List *reorder_grouping_sets(List *groupingSets, List *sortclause);
 static void standard_qp_callback(PlannerInfo *root, void *extra);
@@ -1131,11 +1132,12 @@ subquery_planner(PlannerGlobal *glob, Query *parse, char *plan_name,
 	 * In some cases we may want to transfer a HAVING clause into WHERE. We
 	 * cannot do so if the HAVING clause contains aggregates (obviously) or
 	 * volatile functions (since a HAVING clause is supposed to be executed
-	 * only once per group).  We also can't do this if there are any nonempty
-	 * grouping sets and the clause references any columns that are nullable
-	 * by the grouping sets; moving such a clause into WHERE would potentially
-	 * change the results.  (If there are only empty grouping sets, then the
-	 * HAVING clause must be degenerate as discussed below.)
+	 * only once per group).  We also can't do this if there are any grouping
+	 * sets and the clause references any columns that are nullable by the
+	 * grouping sets; the nulled values of those columns are not available
+	 * before the grouping step.  (The test on groupClause might seem wrong,
+	 * but it's okay: it's just an optimization to avoid running pull_varnos
+	 * when there cannot be any Vars in the HAVING clause.)
 	 *
 	 * Also, it may be that the clause is so expensive to execute that we're
 	 * better off doing it only once per group, despite the loss of
@@ -1145,19 +1147,19 @@ subquery_planner(PlannerGlobal *glob, Query *parse, char *plan_name,
 	 * clause into WHERE, in hopes of eliminating tuples before aggregation
 	 * instead of after.
 	 *
-	 * If the query has explicit grouping then we can simply move such a
+	 * If the query has no empty grouping set then we can simply move such a
 	 * clause into WHERE; any group that fails the clause will not be in the
 	 * output because none of its tuples will reach the grouping or
-	 * aggregation stage.  Otherwise we must have a degenerate (variable-free)
-	 * HAVING clause, which we put in WHERE so that query_planner() can use it
-	 * in a gating Result node, but also keep in HAVING to ensure that we
-	 * don't emit a bogus aggregated row. (This could be done better, but it
-	 * seems not worth optimizing.)
+	 * aggregation stage.  Otherwise we have to keep the clause in HAVING to
+	 * ensure that we don't emit a bogus aggregated row.  But then the HAVING
+	 * clause must be degenerate (variable-free), so we can copy it into WHERE
+	 * so that query_planner() can use it in a gating Result node. (This could
+	 * be done better, but it seems not worth optimizing.)
 	 *
 	 * Note that a HAVING clause may contain expressions that are not fully
 	 * preprocessed.  This can happen if these expressions are part of
 	 * grouping items.  In such cases, they are replaced with GROUP Vars in
-	 * the parser and then replaced back after we've done with expression
+	 * the parser and then replaced back after we're done with expression
 	 * preprocessing on havingQual.  This is not an issue if the clause
 	 * remains in HAVING, because these expressions will be matched to lower
 	 * target items in setrefs.c.  However, if the clause is moved or copied
@@ -1182,7 +1184,8 @@ subquery_planner(PlannerGlobal *glob, Query *parse, char *plan_name,
 			/* keep it in HAVING */
 			newHaving = lappend(newHaving, havingclause);
 		}
-		else if (parse->groupClause)
+		else if (parse->groupClause &&
+				 !has_empty_grouping_set(parse->groupingSets))
 		{
 			Node	   *whereclause;
 
@@ -2910,6 +2913,39 @@ preprocess_groupclause(PlannerInfo *root, List *force)
 	return new_groupclause;
 }
 
+/*
+ * Check for empty grouping sets within a list of GroupingSets.
+ */
+static bool
+has_empty_grouping_set(List *groupingSets)
+{
+	ListCell   *lc;
+
+	foreach(lc, groupingSets)
+	{
+		GroupingSet *gset = castNode(GroupingSet, lfirst(lc));
+
+		switch (gset->kind)
+		{
+			case GROUPING_SET_EMPTY:
+				return true;
+			case GROUPING_SET_SIMPLE:
+				/* keep looking */
+				break;
+			case GROUPING_SET_ROLLUP:
+			case GROUPING_SET_CUBE:
+				/* these necessarily include an empty set */
+				return true;
+			case GROUPING_SET_SETS:
+				/* recurse */
+				if (has_empty_grouping_set(gset->content))
+					return true;
+				break;
+		}
+	}
+	return false;
+}
+
 /*
  * Extract lists of grouping sets that can be implemented using a single
  * rollup-type aggregate pass each. Returns a list of lists of grouping sets.
diff --git a/src/test/regress/expected/groupingsets.out b/src/test/regress/expected/groupingsets.out
index 991121545c5..a480b4749a8 100644
--- a/src/test/regress/expected/groupingsets.out
+++ b/src/test/regress/expected/groupingsets.out
@@ -890,7 +890,8 @@ explain (costs off)
                        ->  Seq Scan on gstest2
 (10 rows)
 
--- test pushdown of HAVING clause that does not reference any columns that are nullable by grouping sets
+-- test pushdown of non-degenerate HAVING clause that does not reference any
+-- columns that are nullable by grouping sets
 explain (costs off)
 select a, b, count(*) from gstest2 group by grouping sets ((a, b), (a)) having a > 1 and b > 1;
            QUERY PLAN            
@@ -911,6 +912,44 @@ select a, b, count(*) from gstest2 group by grouping sets ((a, b), (a)) having a
  2 | 2 |     1
 (1 row)
 
+-- test pushdown of degenerate HAVING clause
+explain (costs off)
+select count(*) from gstest2 group by grouping sets (()) having false;
+            QUERY PLAN             
+-----------------------------------
+ Aggregate
+   Group Key: ()
+   Filter: false
+   ->  Result
+         Replaces: Scan on gstest2
+         One-Time Filter: false
+(6 rows)
+
+select count(*) from gstest2 group by grouping sets (()) having false;
+ count 
+-------
+(0 rows)
+
+explain (costs off)
+select a, count(*) from gstest2 group by grouping sets ((a), ()) having false;
+               QUERY PLAN                
+-----------------------------------------
+ GroupAggregate
+   Group Key: a
+   Group Key: ()
+   Filter: false
+   ->  Sort
+         Sort Key: a
+         ->  Result
+               Replaces: Scan on gstest2
+               One-Time Filter: false
+(9 rows)
+
+select a, count(*) from gstest2 group by grouping sets ((a), ()) having false;
+ a | count 
+---+-------
+(0 rows)
+
 -- HAVING with GROUPING queries
 select ten, grouping(ten) from onek
 group by grouping sets(ten) having grouping(ten) >= 0
diff --git a/src/test/regress/sql/groupingsets.sql b/src/test/regress/sql/groupingsets.sql
index 38d3cdd0fd8..dbacc2ffdce 100644
--- a/src/test/regress/sql/groupingsets.sql
+++ b/src/test/regress/sql/groupingsets.sql
@@ -290,11 +290,21 @@ explain (costs off)
   select v.c, (select count(*) from gstest2 group by () having v.c)
     from (values (false),(true)) v(c) order by v.c;
 
--- test pushdown of HAVING clause that does not reference any columns that are nullable by grouping sets
+-- test pushdown of non-degenerate HAVING clause that does not reference any
+-- columns that are nullable by grouping sets
 explain (costs off)
 select a, b, count(*) from gstest2 group by grouping sets ((a, b), (a)) having a > 1 and b > 1;
 select a, b, count(*) from gstest2 group by grouping sets ((a, b), (a)) having a > 1 and b > 1;
 
+-- test pushdown of degenerate HAVING clause
+explain (costs off)
+select count(*) from gstest2 group by grouping sets (()) having false;
+select count(*) from gstest2 group by grouping sets (()) having false;
+
+explain (costs off)
+select a, count(*) from gstest2 group by grouping sets ((a), ()) having false;
+select a, count(*) from gstest2 group by grouping sets ((a), ()) having false;
+
 -- HAVING with GROUPING queries
 select ten, grouping(ten) from onek
 group by grouping sets(ten) having grouping(ten) >= 0
