diff --git a/pkg/jobs/registry.go b/pkg/jobs/registry.go
index 14bf61b81ae0..f40bd19360ba 100644
--- a/pkg/jobs/registry.go
+++ b/pkg/jobs/registry.go
@@ -549,14 +549,6 @@ func (r *Registry) CreateStartableJobWithTxn(
 		_, span = tracing.ForkSpan(ctx, "job")
 		if span != nil {
 			resumerCtx = tracing.ContextWithSpan(resumerCtx, span)
-
-			// This trace span unfortunately is sometimes never finished.
-			// As a hack/workaround, finish it now so that it leaves the
-			// tracer registry.
-			//
-			// Remove this when this issue is fixed:
-			// https://github.com/cockroachdb/cockroach/issues/60671
-			span.Finish()
 		}
 
 		if r.startUsingSQLLivenessAdoption(ctx) {