diff --git a/src/backend/commands/prepare.c b/src/backend/commands/prepare.c
index cec37ce..69a540e 100644
--- a/src/backend/commands/prepare.c
+++ b/src/backend/commands/prepare.c
@@ -159,7 +159,7 @@ PrepareQuery(PrepareStmt *stmt, const char *queryString)
 					   nargs,
 					   NULL,
 					   NULL,
-					   0,		/* default cursor options */
+					   CURSOR_OPT_PARALLEL_OK,		/* allow parallel mode */
 					   true);	/* fixed result */
 
 	/*
diff --git a/src/backend/executor/execMain.c b/src/backend/executor/execMain.c
index 6872562..368c952 100644
--- a/src/backend/executor/execMain.c
+++ b/src/backend/executor/execMain.c
@@ -1539,10 +1539,16 @@ ExecutePlan(EState *estate,
 	estate->es_direction = direction;
 
 	/*
-	 * If a tuple count was supplied, we must force the plan to run without
-	 * parallelism, because we might exit early.
-	 */
-	if (numberTuples)
+	 * Force the plan to run without parallelism, if the operation was not
+	 * a read-only operation or if a tuple count was supplied.  We can't run
+	 * in parallel mode if tuple count was supplied, because we might exit
+	 * early.
+	 */
+	if (numberTuples ||
+		dest->mydest == DestIntoRel ||
+		dest->mydest == DestCopyOut ||
+		dest->mydest == DestTransientRel ||
+		dest->mydest == DestTuplestore)
 		use_parallel_mode = false;
 
 	/*