diff --git a/.github/renovate.json b/.github/renovate.json
index ce3449f4bfd..6488cf8458d 100644
--- a/.github/renovate.json
+++ b/.github/renovate.json
@@ -28,6 +28,7 @@
         "minor",
         "patch"
       ],
+      "matchCurrentVersion": "!/^0/",
       "excludeDepNames": [
         "app",
         "dynamite_end_to_end_test",
@@ -37,6 +38,15 @@
       ],
       "enabled": false
     },
+    {
+      "matchManagers": ["pub"],
+      "matchDepTypes": ["dependencies"],
+      "matchUpdateTypes": [
+        "patch"
+      ],
+      "matchCurrentVersion": "/^0/",
+      "enabled": false
+    },
     {
       "groupName": "built_value",
       "matchPackagePatterns": "^built"