diff --git a/.github/actions-scripts/purge-old-workflow-runs.js b/.github/actions-scripts/purge-old-workflow-runs.js
index c1963e909c..2692ae441f 100755
--- a/.github/actions-scripts/purge-old-workflow-runs.js
+++ b/.github/actions-scripts/purge-old-workflow-runs.js
@@ -193,6 +193,10 @@ async function deleteWorkflowRuns(
           assert(status === 204, `Unexpected status deleting logs for run ${run.id}: ${status}`)
         } catch (error) {
           console.warn('ERROR trying to delete the logs for run', run.id, error.message)
+          if (error.message && error.message.includes('API rate limit exceeded')) {
+            // This can not be recovered by continuing on to the next run.
+            break
+          }
         }
       }
 
@@ -209,6 +213,10 @@ async function deleteWorkflowRuns(
           assert(status === 204, `Unexpected status deleting logs for run ${run.id}: ${status}`)
         } catch (error) {
           console.warn('ERROR trying to delete run', run.id, error.message)
+          if (error.message && error.message.includes('API rate limit exceeded')) {
+            // This can not be recovered by continuing on to the next run.
+            break
+          }
         }
       }