diff --git a/pkg/sql/logictest/testdata/logic_test/udf_setof b/pkg/sql/logictest/testdata/logic_test/udf_setof
index e50a1ff5a643..f4c7c682cc99 100644
--- a/pkg/sql/logictest/testdata/logic_test/udf_setof
+++ b/pkg/sql/logictest/testdata/logic_test/udf_setof
@@ -325,3 +325,63 @@ statement ok
 DROP FUNCTION f145414;
 
 subtest end
+
+# Test that ORDER BY is preserved in SQL UDFs with OUT parameters
+subtest out_params_ordering
+
+statement ok
+CREATE TABLE test_ordering (x INT PRIMARY KEY, y INT);
+
+statement ok
+INSERT INTO test_ordering VALUES (1, 10), (2, 20), (3, 30), (4, 40);
+
+statement ok
+CREATE FUNCTION f_out_desc(OUT a INT, OUT b INT) RETURNS SETOF RECORD AS $$
+  SELECT x, y FROM test_ordering ORDER BY x DESC;
+$$ LANGUAGE SQL;
+
+query T nosort
+SELECT f_out_desc();
+----
+(4,40)
+(3,30)
+(2,20)
+(1,10)
+
+query II nosort
+SELECT * FROM f_out_desc();
+----
+4  40
+3  30
+2  20
+1  10
+
+statement ok
+DROP FUNCTION f_out_desc;
+
+statement ok
+CREATE FUNCTION f_out_asc(OUT a INT, OUT b INT) RETURNS SETOF RECORD AS $$
+  SELECT x, y FROM test_ordering ORDER BY x ASC;
+$$ LANGUAGE SQL;
+
+query T nosort
+SELECT f_out_asc();
+----
+(1,10)
+(2,20)
+(3,30)
+(4,40)
+
+query II nosort
+SELECT * FROM f_out_asc();
+----
+1  10
+2  20
+3  30
+4  40
+
+statement ok
+DROP FUNCTION f_out_asc;
+DROP TABLE test_ordering;
+
+subtest end
diff --git a/pkg/sql/opt/optbuilder/routine.go b/pkg/sql/opt/optbuilder/routine.go
index b249afbc0a94..34908cfc9db9 100644
--- a/pkg/sql/opt/optbuilder/routine.go
+++ b/pkg/sql/opt/optbuilder/routine.go
@@ -653,6 +653,7 @@ func (b *Builder) finalizeRoutineReturnType(
 // into a single tuple column.
 func (b *Builder) combineRoutineColsIntoTuple(stmtScope *scope) *scope {
 	outScope := stmtScope.push()
+	outScope.copyOrdering(stmtScope)
 	elems := make(memo.ScalarListExpr, len(stmtScope.cols))
 	typContents := make([]*types.T, len(stmtScope.cols))
 	for i := range stmtScope.cols {
@@ -721,6 +722,7 @@ func (b *Builder) maybeAddRoutineAssignmentCasts(
 		return stmtScope
 	}
 	outScope := stmtScope.push()
+	outScope.copyOrdering(stmtScope)
 	for i, col := range stmtScope.cols {
 		scalar := b.factory.ConstructVariable(col.id)
 		if !col.typ.Identical(desiredTypes[i]) {