diff --git a/internal/controller/postgrescluster/pgbackrest.go b/internal/controller/postgrescluster/pgbackrest.go
index 21dbcc84f..d470daab3 100644
--- a/internal/controller/postgrescluster/pgbackrest.go
+++ b/internal/controller/postgrescluster/pgbackrest.go
@@ -2491,6 +2491,8 @@ func (r *Reconciler) reconcileManualBackup(ctx context.Context,
 		})
 	backupJob.ObjectMeta.Labels = labels
 	backupJob.ObjectMeta.Annotations = annotations
+	// K8SPG-703
+	backupJob.Finalizers = []string{pNaming.FinalizerKeepJob}
 
 	// K8SPG-613
 	initImage, err := k8s.InitImage(ctx, r.Client, postgresCluster, &postgresCluster.Spec.Backups.PGBackRest)
diff --git a/percona/controller/pgbackup/controller.go b/percona/controller/pgbackup/controller.go
index 5b4e6a4f3..57c617f29 100644
--- a/percona/controller/pgbackup/controller.go
+++ b/percona/controller/pgbackup/controller.go
@@ -131,7 +131,7 @@ func (r *PGBackupReconciler) Reconcile(ctx context.Context, request reconcile.Re
 		}
 
 		// start backup only if backup job doesn't exist
-		_, err := findBackupJob(ctx, r.Client, pgCluster, pgBackup)
+		_, err := findBackupJob(ctx, r.Client, pgBackup)
 		if err != nil {
 			if !errors.Is(err, ErrBackupJobNotFound) {
 				return reconcile.Result{}, errors.Wrap(err, "find backup job")
@@ -184,7 +184,7 @@ func (r *PGBackupReconciler) Reconcile(ctx context.Context, request reconcile.Re
 			return reconcile.Result{}, errors.Errorf("PostgresCluster %s is not found", pgBackup.Spec.PGCluster)
 		}
 
-		job, err := findBackupJob(ctx, r.Client, pgCluster, pgBackup)
+		job, err := findBackupJob(ctx, r.Client, pgBackup)
 		if err != nil {
 			if errors.Is(err, ErrBackupJobNotFound) {
 				log.Info("Waiting for backup to start")
@@ -231,6 +231,15 @@ func (r *PGBackupReconciler) Reconcile(ctx context.Context, request reconcile.Re
 		job := &batchv1.Job{}
 		err := r.Client.Get(ctx, types.NamespacedName{Name: pgBackup.Status.JobName, Namespace: pgBackup.Namespace}, job)
 		if err != nil {
+			// If something has deleted the job even with the finalizer, we should fail the backup.
+			if k8serrors.IsNotFound(err) {
+				if err := updateStatus(ctx, r.Client, pgBackup, func(bcp *v2.PerconaPGBackup) {
+					bcp.Status.State = v2.BackupFailed
+				}); err != nil {
+					return reconcile.Result{}, errors.Wrap(err, "update PGBackup status")
+				}
+				return reconcile.Result{}, nil
+			}
 			return reconcile.Result{}, errors.Wrap(err, "get backup job")
 		}
 
@@ -265,6 +274,21 @@ func (r *PGBackupReconciler) Reconcile(ctx context.Context, request reconcile.Re
 
 		return reconcile.Result{}, nil
 	case v2.BackupSucceeded:
+		job, err := findBackupJob(ctx, r.Client, pgBackup)
+		if err == nil && len(job.Finalizers) > 0 {
+			if err := retry.RetryOnConflict(retry.DefaultBackoff, func() error {
+				j := new(batchv1.Job)
+				if err := r.Client.Get(ctx, client.ObjectKeyFromObject(job), j); err != nil {
+					return errors.Wrap(err, "get job")
+				}
+				j.Finalizers = []string{}
+
+				return r.Client.Update(ctx, j)
+			}); err != nil {
+				return reconcile.Result{}, errors.Wrap(err, "update PGBackup status")
+			}
+		}
+
 		if pgCluster == nil {
 			return reconcile.Result{}, nil
 		}
@@ -636,8 +660,11 @@ func startBackup(ctx context.Context, c client.Client, pb *v2.PerconaPGBackup) e
 	return nil
 }
 
-func findBackupJob(ctx context.Context, c client.Client, pg *v2.PerconaPGCluster, pb *v2.PerconaPGBackup) (*batchv1.Job, error) {
-	if jobName := pb.GetAnnotations()[pNaming.AnnotationPGBackrestBackupJobName]; jobName != "" {
+func findBackupJob(ctx context.Context, c client.Client, pb *v2.PerconaPGBackup) (*batchv1.Job, error) {
+	if jobName := pb.GetAnnotations()[pNaming.AnnotationPGBackrestBackupJobName]; jobName != "" || pb.Status.JobName != "" {
+		if jobName == "" {
+			jobName = pb.Status.JobName
+		}
 		job := new(batchv1.Job)
 		err := c.Get(ctx, types.NamespacedName{Name: jobName, Namespace: pb.Namespace}, job)
 		if err != nil {
@@ -648,9 +675,9 @@ func findBackupJob(ctx context.Context, c client.Client, pg *v2.PerconaPGCluster
 
 	jobList := &batchv1.JobList{}
 	err := c.List(ctx, jobList,
-		client.InNamespace(pg.Namespace),
+		client.InNamespace(pb.Namespace),
 		client.MatchingLabelsSelector{
-			Selector: naming.PGBackRestBackupJobSelector(pg.Name, pb.Spec.RepoName, naming.BackupManual),
+			Selector: naming.PGBackRestBackupJobSelector(pb.Spec.PGCluster, pb.Spec.RepoName, naming.BackupManual),
 		})
 	if err != nil {
 		return nil, errors.Wrap(err, "get backup jobs")
diff --git a/percona/controller/pgcluster/backup.go b/percona/controller/pgcluster/backup.go
index 44639f1b1..5b432283e 100644
--- a/percona/controller/pgcluster/backup.go
+++ b/percona/controller/pgcluster/backup.go
@@ -5,6 +5,7 @@ import (
 
 	"github.com/pkg/errors"
 	batchv1 "k8s.io/api/batch/v1"
+	k8serrors "k8s.io/apimachinery/pkg/api/errors"
 	metav1 "k8s.io/apimachinery/pkg/apis/meta/v1"
 	"k8s.io/apimachinery/pkg/types"
 	"k8s.io/client-go/util/retry"
@@ -87,14 +88,18 @@ func (r *PGClusterReconciler) cleanupOutdatedBackups(ctx context.Context, cr *v2
 			// After the pg-backup is deleted, the job is not deleted immediately.
 			// We need to set the DeletionTimestamp for a job so that `reconcileBackupJob` doesn't create a new pg-backup before the job deletion.
 			job := new(batchv1.Job)
-			if err := r.Client.Get(ctx, types.NamespacedName{Name: pgBackup.Status.JobName, Namespace: pgBackup.Namespace}, job); err != nil {
+			err := r.Client.Get(ctx, types.NamespacedName{Name: pgBackup.Status.JobName, Namespace: pgBackup.Namespace}, job)
+			if client.IgnoreNotFound(err) != nil {
 				return errors.Wrap(err, "get backup job")
 			}
-			prop := metav1.DeletePropagationForeground
-			if err := r.Client.Delete(ctx, job, &client.DeleteOptions{
-				PropagationPolicy: &prop,
-			}); err != nil {
-				return errors.Wrapf(err, "delete job %s/%s", job.Name, job.Namespace)
+			// The job may be deleted earlier due to ttlSecondsAfterFinished
+			if !k8serrors.IsNotFound(err) {
+				prop := metav1.DeletePropagationForeground
+				if err := r.Client.Delete(ctx, job, &client.DeleteOptions{
+					PropagationPolicy: &prop,
+				}); err != nil {
+					return errors.Wrapf(err, "delete job %s/%s", job.Name, job.Namespace)
+				}
 			}
 			if err := r.Client.Delete(ctx, &pgBackup); err != nil {
 				return errors.Wrapf(err, "delete backup %s/%s", pgBackup.Name, pgBackup.Namespace)
diff --git a/percona/naming/finalizers.go b/percona/naming/finalizers.go
index 604f809b3..d2fa2858b 100644
--- a/percona/naming/finalizers.go
+++ b/percona/naming/finalizers.go
@@ -19,3 +19,8 @@ const (
 const (
 	FinalizerDeleteBackup = PrefixPerconaInternal + "delete-backup" //nolint:gosec
 )
+
+// PerconaPGBackup job finalizers
+const (
+	FinalizerKeepJob = PrefixPerconaInternal + "keep-job" //nolint:gosec
+)