diff --git a/.github/.OwlBot.lock.yaml b/.github/.OwlBot.lock.yaml
index 1ce6085..58fcbee 100644
--- a/.github/.OwlBot.lock.yaml
+++ b/.github/.OwlBot.lock.yaml
@@ -13,5 +13,5 @@
 # limitations under the License.
 docker:
   image: gcr.io/cloud-devrel-public-resources/owlbot-python:latest
-  digest: sha256:e7bb19d47c13839fe8c147e50e02e8b6cf5da8edd1af8b82208cd6f66cc2829c
-# created: 2022-07-05T18:31:20.838186805Z
+  digest: sha256:c8878270182edaab99f2927969d4f700c3af265accd472c3425deedff2b7fd93
+# created: 2022-07-14T01:58:16.015625351Z
diff --git a/CHANGELOG.md b/CHANGELOG.md
index 569f236..1454783 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,5 +1,12 @@
 # Changelog
 
+## [0.5.4](https://github.com/googleapis/python-dataflow-client/compare/v0.5.3...v0.5.4) (2022-07-14)
+
+
+### Bug Fixes
+
+* **deps:** require google-api-core>=1.32.0,>=2.8.0 ([#120](https://github.com/googleapis/python-dataflow-client/issues/120)) ([f981454](https://github.com/googleapis/python-dataflow-client/commit/f981454d308aba209335a8c49d347c77e9604645))
+
 ## [0.5.3](https://github.com/googleapis/python-dataflow-client/compare/v0.5.2...v0.5.3) (2022-07-12)
 
 
diff --git a/README.rst b/README.rst
index dcbe96c..098dc92 100644
--- a/README.rst
+++ b/README.rst
@@ -55,18 +55,22 @@ Code samples and snippets live in the `samples/` folder.
 
 Supported Python Versions
 ^^^^^^^^^^^^^^^^^^^^^^^^^
-Our client libraries are compatible with all current [active](https://devguide.python.org/devcycle/#in-development-main-branch) and [maintenance](https://devguide.python.org/devcycle/#maintenance-branches) versions of
+Our client libraries are compatible with all current `active`_ and `maintenance`_ versions of
 Python.
 
 Python >= 3.7
 
+.. _active: https://devguide.python.org/devcycle/#in-development-main-branch
+.. _maintenance: https://devguide.python.org/devcycle/#maintenance-branches
+
 Unsupported Python Versions
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^
 Python <= 3.6
 
-If you are using an [end-of-life](https://devguide.python.org/devcycle/#end-of-life-branches)
+If you are using an `end-of-life`_
 version of Python, we recommend that you update as soon as possible to an actively supported version.
 
+.. _end-of-life: https://devguide.python.org/devcycle/#end-of-life-branches
 
 Mac/Linux
 ^^^^^^^^^
diff --git a/setup.py b/setup.py
index 77f8522..ef44ad9 100644
--- a/setup.py
+++ b/setup.py
@@ -21,11 +21,11 @@
 
 name = "google-cloud-dataflow-client"
 description = "Cloud Dataflow API client library"
-version = "0.5.3"
+version = "0.5.4"
 release_status = "Development Status :: 4 - Beta"
 url = "https://github.com/googleapis/python-dataflow-client"
 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