diff --git a/packages/google-cloud-billing/setup.py b/packages/google-cloud-billing/setup.py
index 8e6d1c38e3a5..722d01450cc1 100644
--- a/packages/google-cloud-billing/setup.py
+++ b/packages/google-cloud-billing/setup.py
@@ -44,7 +44,10 @@
     platforms="Posix; MacOS X; Windows",
     include_package_data=True,
     install_requires=(
-        "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",
         "grpc-google-iam-v1 >= 0.12.3, < 0.13.0",
         "proto-plus >= 1.10.0",
         "packaging >= 14.3",