diff --git a/packages/google-cloud-iap/setup.py b/packages/google-cloud-iap/setup.py
index 6c3885069178..8ce3f4cbfc18 100644
--- a/packages/google-cloud-iap/setup.py
+++ b/packages/google-cloud-iap/setup.py
@@ -26,7 +26,10 @@
 release_status = "Development Status :: 4 - Beta"
 url = "https://github.com/googleapis/python-iap"
 dependencies = [
-    "google-api-core[grpc] >= 1.27.0, <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] >= 1.27.0, <3.0.0dev",
     "proto-plus >= 1.15.0",
     "packaging >= 14.3",
     "grpc-google-iam-v1 >= 0.12.3, < 0.13dev",