diff --git a/pkg/jobs/job_scheduler.go b/pkg/jobs/job_scheduler.go
index 6ecc863c05fe..884fa353868d 100644
--- a/pkg/jobs/job_scheduler.go
+++ b/pkg/jobs/job_scheduler.go
@@ -236,8 +236,10 @@ func (s *jobScheduler) executeSchedules(
 	defer stats.updateMetrics(&s.metrics)
 
 	findSchedulesStmt := getFindSchedulesStatement(s.env, maxSchedules)
-	rows, cols, err := s.InternalExecutor.QueryWithCols(ctx, "find-scheduled-jobs", nil,
-		sqlbase.InternalExecutorSessionDataOverride{User: security.RootUser},
+	rows, cols, err := s.InternalExecutor.QueryWithCols(
+		ctx, "find-scheduled-jobs",
+		txn,
+		sqlbase.InternalExecutorSessionDataOverride{User: security.NodeUser},
 		findSchedulesStmt)
 
 	if err != nil {
@@ -252,8 +254,20 @@ func (s *jobScheduler) executeSchedules(
 			continue
 		}
 
+		sp, err := txn.CreateSavepoint(ctx)
+		if err != nil {
+			return err
+		}
+
 		if err := s.processSchedule(ctx, schedule, numRunning, stats, txn); err != nil {
-			// We don't know if txn is good at this point, so bail out.
+			log.Errorf(ctx, "error processing schedule %d: %+v", schedule.ScheduleID(), err)
+
+			if err := txn.RollbackToSavepoint(ctx, sp); err != nil {
+				return errors.Wrapf(err, "failed to rollback savepoint for schedule %d", schedule.ScheduleID())
+			}
+		}
+
+		if err := txn.ReleaseSavepoint(ctx, sp); err != nil {
 			return err
 		}
 	}
diff --git a/pkg/jobs/job_scheduler_test.go b/pkg/jobs/job_scheduler_test.go
index 9c70620cd051..25ca61df5dd8 100644
--- a/pkg/jobs/job_scheduler_test.go
+++ b/pkg/jobs/job_scheduler_test.go
@@ -26,7 +26,6 @@ import (
 	"github.com/cockroachdb/cockroach/pkg/sql/sqlutil"
 	"github.com/cockroachdb/cockroach/pkg/testutils"
 	"github.com/cockroachdb/cockroach/pkg/testutils/serverutils"
-	"github.com/cockroachdb/cockroach/pkg/testutils/skip"
 	"github.com/cockroachdb/cockroach/pkg/testutils/sqlutils"
 	"github.com/cockroachdb/cockroach/pkg/util/leaktest"
 	"github.com/cockroachdb/cockroach/pkg/util/log"
@@ -43,8 +42,6 @@ func TestJobSchedulerReschedulesRunning(t *testing.T) {
 	defer leaktest.AfterTest(t)()
 	defer log.Scope(t).Close(t)
 
-	skip.WithIssue(t, 52959)
-
 	h, cleanup := newTestHelper(t)
 	defer cleanup()
 
@@ -425,6 +422,64 @@ func TestJobSchedulerDaemonHonorsMaxJobsLimit(t *testing.T) {
 	stopper.Stop(ctx)
 }
 
+// returnErrorExecutor counts the number of times it is
+// called, and always returns an error.
+type returnErrorExecutor struct {
+	numCalls int
+}
+
+func (e *returnErrorExecutor) ExecuteJob(
+	_ context.Context,
+	_ *scheduledjobs.JobExecutionConfig,
+	_ scheduledjobs.JobSchedulerEnv,
+	schedule *ScheduledJob,
+	_ *kv.Txn,
+) error {
+	e.numCalls++
+	return errors.Newf("error for schedule %d", schedule.ScheduleID())
+}
+
+func (e *returnErrorExecutor) NotifyJobTermination(
+	_ context.Context, _ int64, _ Status, _ *ScheduledJob, _ *kv.Txn,
+) error {
+	return nil
+}
+
+func (e *returnErrorExecutor) Metrics() metric.Struct {
+	return nil
+}
+
+var _ ScheduledJobExecutor = &returnErrorExecutor{}
+
+func TestJobSchedulerToleratesBadSchedules(t *testing.T) {
+	defer leaktest.AfterTest(t)()
+	defer log.Scope(t).Close(t)
+	h, cleanup := newTestHelper(t)
+	defer cleanup()
+
+	ctx := context.Background()
+
+	const executorName = "return_error"
+	ex := &returnErrorExecutor{}
+	defer registerScopedScheduledJobExecutor(executorName, ex)()
+
+	// Create few one-off schedules.
+	const numJobs = 5
+	scheduleRunTime := h.env.Now().Add(time.Hour)
+	for i := 0; i < numJobs; i++ {
+		s := h.newScheduledJobForExecutor("schedule", executorName, nil)
+		s.SetNextRun(scheduleRunTime)
+		require.NoError(t, s.Create(ctx, h.cfg.InternalExecutor, nil))
+	}
+	h.env.SetTime(scheduleRunTime.Add(time.Second))
+	daemon := newJobScheduler(h.cfg, h.env, metric.NewRegistry())
+	require.NoError(t,
+		h.cfg.DB.Txn(context.Background(), func(ctx context.Context, txn *kv.Txn) error {
+			return daemon.executeSchedules(ctx, numJobs, txn)
+		}))
+	require.Equal(t, numJobs, ex.numCalls)
+}
+
 func TestJobSchedulerDaemonUsesSystemTables(t *testing.T) {
 	defer leaktest.AfterTest(t)()
 	defer log.Scope(t).Close(t)