diff --git a/src/bin/scripts/reindexdb.c b/src/bin/scripts/reindexdb.c
index 8ddcc5312f7..df218438f03 100644
--- a/src/bin/scripts/reindexdb.c
+++ b/src/bin/scripts/reindexdb.c
@@ -216,6 +216,9 @@ main(int argc, char *argv[])
 	if (concurrentCons > 1 && syscatalog)
 		pg_fatal("cannot use multiple jobs to reindex system catalogs");
 
+	if (concurrentCons > 1 && concurrently && indexes.head != NULL)
+		pg_fatal("cannot use multiple jobs to reindex indexes concurrently");
+
 	if (alldb)
 	{
 		if (dbname)
diff --git a/src/bin/scripts/t/090_reindexdb.pl b/src/bin/scripts/t/090_reindexdb.pl
index 1bd32d9426c..2f3b7784560 100644
--- a/src/bin/scripts/t/090_reindexdb.pl
+++ b/src/bin/scripts/t/090_reindexdb.pl
@@ -298,6 +298,16 @@ $node->issues_sql_like(
 	],
 	qr/statement:\ REINDEX TABLE s1.t1;/,
 	'parallel reindexdb for schemas does a per-table REINDEX');
+$node->command_fails(
+	[
+		'reindexdb',
+		'--jobs' => '2',
+		'--concurrently',
+		'--index' => 's1.i1',
+		'--index' => 's2.i2',
+		'postgres',
+	],
+	'parallel reindexdb for indices concurrently');
 $node->command_ok([ 'reindexdb', '--jobs' => '2', '--schema' => 's3' ],
 	'parallel reindexdb with empty schema');
 $node->command_ok(