diff --git a/pkg/ccl/importccl/import_stmt_test.go b/pkg/ccl/importccl/import_stmt_test.go
index 47b1f214115f..4780f91c5d35 100644
--- a/pkg/ccl/importccl/import_stmt_test.go
+++ b/pkg/ccl/importccl/import_stmt_test.go
@@ -867,7 +867,6 @@ func TestImportCSVStmt(t *testing.T) {
 	if testing.Short() {
 		t.Skip("short")
 	}
-	t.Skip(`#34568`)
 
 	const (
 		nodes       = 3
diff --git a/pkg/testutils/jobutils/jobs_verification.go b/pkg/testutils/jobutils/jobs_verification.go
index e5292aaf6a06..c8d2ee38a58d 100644
--- a/pkg/testutils/jobutils/jobs_verification.go
+++ b/pkg/testutils/jobutils/jobs_verification.go
@@ -145,7 +145,8 @@ func verifySystemJob(
 	// the job ID.
 	db.QueryRow(t, `
 		SELECT job_type, description, user_name, descriptor_ids, status, running_status
-		FROM crdb_internal.jobs ORDER BY created LIMIT 1 OFFSET $1`,
+		FROM crdb_internal.jobs WHERE job_type = $1 ORDER BY created LIMIT 1 OFFSET $2`,
+		expectedType.String(),
 		offset,
 	).Scan(
 		&actualType, &actual.Description, &actual.Username, &rawDescriptorIDs,