diff --git a/CHANGELOG.md b/CHANGELOG.md
index 87408a9..c926cbd 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,5 +1,13 @@
 # Changelog
 
+## [0.4.2](https://github.com/googleapis/python-run/compare/v0.4.1...v0.4.2) (2022-10-10)
+
+
+### Bug Fixes
+
+* **deps:** Allow protobuf 3.19.5 ([#58](https://github.com/googleapis/python-run/issues/58)) ([87dcb78](https://github.com/googleapis/python-run/commit/87dcb781affd73e25e3850e01a240e0e985f0570))
+* **deps:** require google-api-core>=1.33.2 ([87dcb78](https://github.com/googleapis/python-run/commit/87dcb781affd73e25e3850e01a240e0e985f0570))
+
 ## [0.4.1](https://github.com/googleapis/python-run/compare/v0.4.0...v0.4.1) (2022-10-03)
 
 
diff --git a/setup.py b/setup.py
index da458b2..0ef73e7 100644
--- a/setup.py
+++ b/setup.py
@@ -22,13 +22,13 @@
 
 name = "google-cloud-run"
 description = "Cloud Run API client library"
-version = "0.4.1"
+version = "0.4.2"
 release_status = "Development Status :: 4 - Beta"
 url = "https://github.com/googleapis/python-run"
 dependencies = [
-    "google-api-core[grpc] >= 1.33.0, <3.0.0dev,!=2.0.*,!=2.1.*,!=2.2.*,!=2.3.*,!=2.4.*,!=2.5.*,!=2.6.*,!=2.7.*",
+    "google-api-core[grpc] >= 1.33.2, <3.0.0dev,!=2.0.*,!=2.1.*,!=2.2.*,!=2.3.*,!=2.4.*,!=2.5.*,!=2.6.*,!=2.7.*",
     "proto-plus >= 1.22.0, <2.0.0dev",
-    "protobuf >= 3.20.2, <5.0.0dev",
+    "protobuf>=3.19.5,<5.0.0dev,!=3.20.0,!=3.20.1,!=4.21.0,!=4.21.1,!=4.21.2,!=4.21.3,!=4.21.4,!=4.21.5",
     "grpc-google-iam-v1 >= 0.12.4, <1.0.0dev",
 ]
 
diff --git a/testing/constraints-3.7.txt b/testing/constraints-3.7.txt
index 70f3b1e..87c3b8c 100644
--- a/testing/constraints-3.7.txt
+++ b/testing/constraints-3.7.txt
@@ -4,7 +4,7 @@
 # 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==1.33.0
+google-api-core==1.33.2
 proto-plus==1.22.0
 grpc-google-iam-v1==0.12.4
-protobuf==3.20.2
+protobuf==3.19.5