diff --git a/pkg/jobs/jobs.go b/pkg/jobs/jobs.go
index a51cb3cd70e8..f4ea23794382 100644
--- a/pkg/jobs/jobs.go
+++ b/pkg/jobs/jobs.go
@@ -162,17 +162,20 @@ func init() {
 // Status represents the status of a job in the system.jobs table.
 type Status string
 
-// SafeFormat implements redact.SafeFormatter.
-func (s Status) SafeFormat(sp redact.SafePrinter, verb rune) {
-	sp.SafeString(redact.SafeString(s))
-}
+// SafeValue implements redact.SafeValue.
+func (s Status) SafeValue() {}
 
-var _ redact.SafeFormatter = Status("")
+var _ redact.SafeValue = Status("")
 
 // RunningStatus represents the more detailed status of a running job in
 // the system.jobs table.
 type RunningStatus string
 
+// SafeValue implements redact.SafeValue.
+func (s RunningStatus) SafeValue() {}
+
+var _ redact.SafeValue = RunningStatus("")
+
 const (
 	// StatusPending is `for jobs that have been created but on which work has
 	// not yet started.
diff --git a/pkg/sql/logictest/testdata/logic_test/jobs b/pkg/sql/logictest/testdata/logic_test/jobs
index 183101b56cdc..93cda6a61f6b 100644
--- a/pkg/sql/logictest/testdata/logic_test/jobs
+++ b/pkg/sql/logictest/testdata/logic_test/jobs
@@ -270,12 +270,17 @@ SELECT count(*) FROM [SHOW AUTOMATIC JOBS] WHERE job_type = 'POLL JOBS STATS' AN
 
 subtest control_job_priv
 
-skip 125212
-
 user testuser
 
 statement ok
-CREATE TABLE t_control_job_priv(x INT);
+CREATE TABLE t_control_job_priv(x INT)
+
+# Add a row into the table so that the GC job does not complete immediately;
+# it must wait for the table data gc.ttl before removing the descriptor.
+statement ok
+INSERT INTO t_control_job_priv VALUES (1)
+
+statement ok
 DROP TABLE t_control_job_priv
 
 let $job_id
@@ -303,12 +308,17 @@ subtest end
 
 subtest control_job_priv_inherited
 
-skip 125212
-
 user testuser
 
 statement ok
-CREATE TABLE t_control_job_priv_inherited(x INT);
+CREATE TABLE t_control_job_priv_inherited(x INT)
+
+# Add a row into the table so that the GC job does not complete immediately;
+# it must wait for the table data gc.ttl before removing the descriptor.
+statement ok
+INSERT INTO t_control_job_priv_inherited VALUES (1)
+
+statement ok
 DROP TABLE t_control_job_priv_inherited
 
 let $job_id
diff --git a/pkg/testutils/lint/passes/redactcheck/redactcheck.go b/pkg/testutils/lint/passes/redactcheck/redactcheck.go
index 5259593345cf..acae5117ab77 100644
--- a/pkg/testutils/lint/passes/redactcheck/redactcheck.go
+++ b/pkg/testutils/lint/passes/redactcheck/redactcheck.go
@@ -75,6 +75,10 @@ func runAnalyzer(pass *analysis.Pass) (interface{}, error) {
 						"sz":     {},
 						"timing": {},
 					},
+					"github.com/cockroachdb/cockroach/pkg/jobs": {
+						"RunningStatus": {},
+						"Status":        {},
+					},
 					"github.com/cockroachdb/cockroach/pkg/jobs/jobspb": {
 						"Type": {},
 					},