diff --git a/packages/google-cloud-bigquery-logging/setup.py b/packages/google-cloud-bigquery-logging/setup.py
index 15bbe9846c9d..e6e5dbf0759c 100644
--- a/packages/google-cloud-bigquery-logging/setup.py
+++ b/packages/google-cloud-bigquery-logging/setup.py
@@ -42,7 +42,10 @@
     platforms="Posix; MacOS X; Windows",
     include_package_data=True,
     install_requires=(
-        "google-api-core[grpc] >= 1.22.2, < 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] >= 1.22.2, < 3.0.0dev",
         "proto-plus >= 1.15.0",
         "packaging >= 14.3",
         "grpc-google-iam-v1 >= 0.12.3, < 0.13dev",