diff --git a/packages/google-cloud-build/setup.py b/packages/google-cloud-build/setup.py
index 1d7828c2800d..585b118c61d9 100644
--- a/packages/google-cloud-build/setup.py
+++ b/packages/google-cloud-build/setup.py
@@ -28,7 +28,10 @@
 # 'Development Status :: 5 - Production/Stable'
 release_status = "Development Status :: 5 - Production/Stable"
 dependencies = [
-    "google-api-core[grpc] >= 1.26.0, <2.0.0dev",
+    # NOTE: Maintainers, please do not require google-api-core>=2.x.x
+    # Until this issue is closed
+    # https://github.com/googleapis/google-cloud-python/issues/10566
+    "google-api-core[grpc] >= 1.26.0, <3.0.0dev",
     "proto-plus >= 0.4.0",
     "packaging >= 14.3",
 ]