diff --git a/.kokoro/requirements.txt b/.kokoro/requirements.txt
index b12a8b229..0fb4760a3 100644
--- a/.kokoro/requirements.txt
+++ b/.kokoro/requirements.txt
@@ -208,9 +208,9 @@ gcp-releasetool==1.16.0 \
     --hash=sha256:27bf19d2e87aaa884096ff941aa3c592c482be3d6a2bfe6f06afafa6af2353e3 \
     --hash=sha256:a316b197a543fd036209d0caba7a8eb4d236d8e65381c80cbc6d7efaa7606d63
     # via -r requirements.in
-google-api-core==2.12.0 \
-    --hash=sha256:c22e01b1e3c4dcd90998494879612c38d0a3411d1f7b679eb89e2abe3ce1f553 \
-    --hash=sha256:ec6054f7d64ad13b41e43d96f735acbd763b0f3b695dabaa2d579673f6a6e160
+google-api-core==2.13.0 \
+    --hash=sha256:44ed591f6c3a0c1ac7a91867d2b3841f92839f860f3d3fe26c464dbd50f97094 \
+    --hash=sha256:abc1da067c9026c6cd15dfbd4f6ad07735a62eeadc541d1cc296314447fc3aad
     # via
     #   google-cloud-core
     #   google-cloud-storage