diff --git a/CHANGELOG.md b/CHANGELOG.md
index fe894b6..ce68262 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,5 +1,12 @@
 # Changelog
 
+## [1.4.1](https://github.com/googleapis/python-orchestration-airflow/compare/v1.4.0...v1.4.1) (2022-07-13)
+
+
+### Bug Fixes
+
+* **deps:** require google-api-core>=1.32.0,>=2.8.0 ([#120](https://github.com/googleapis/python-orchestration-airflow/issues/120)) ([3fcf6fc](https://github.com/googleapis/python-orchestration-airflow/commit/3fcf6fc44f0d58f7d9da00a434748be0723292b6))
+
 ## [1.4.0](https://github.com/googleapis/python-orchestration-airflow/compare/v1.3.2...v1.4.0) (2022-07-07)
 
 
diff --git a/setup.py b/setup.py
index 1f0f9e4..2017fa8 100644
--- a/setup.py
+++ b/setup.py
@@ -21,11 +21,11 @@
 
 name = "google-cloud-orchestration-airflow"
 description = "Cloud Composer API client library"
-version = "1.4.0"
+version = "1.4.1"
 release_status = "Development Status :: 5 - Production/Stable"
 url = "https://github.com/googleapis/python-orchestration-airflow"
 dependencies = [
-    "google-api-core[grpc] >= 2.8.0, <3.0.0dev",
+    "google-api-core[grpc] >= 1.32.0, <3.0.0dev,!=2.0.*,!=2.1.*,!=2.2.*,!=2.3.*,!=2.4.*,!=2.5.*,!=2.6.*,!=2.7.*",
     "proto-plus >= 1.15.0, <2.0.0dev",
     "protobuf >= 3.19.0, <4.0.0dev",
 ]
diff --git a/testing/constraints-3.7.txt b/testing/constraints-3.7.txt
index 6522c7e..f61f150 100644
--- a/testing/constraints-3.7.txt
+++ b/testing/constraints-3.7.txt
@@ -4,6 +4,6 @@
 # Pin the version to the lower bound.
 # e.g., if setup.py has "google-cloud-foo >= 1.14.0, < 2.0.0dev",
 # Then this file should have google-cloud-foo==1.14.0
-google-api-core==2.8.0
+google-api-core==1.32.0
 proto-plus==1.15.0
 protobuf==3.19.0