diff --git a/CHANGELOG.md b/CHANGELOG.md
index d5efd7dd6..306c2dd0d 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -5,6 +5,14 @@
 [1]: https://pypi.org/project/google-cloud-bigquery/#history
 
 
+## [3.3.5](https://github.com/googleapis/python-bigquery/compare/v3.3.4...v3.3.5) (2022-10-10)
+
+
+### Bug Fixes
+
+* **deps:** Allow protobuf 3.19.5 ([#1379](https://github.com/googleapis/python-bigquery/issues/1379)) ([3e4a074](https://github.com/googleapis/python-bigquery/commit/3e4a074a981eb2920c5f9a711c253565d4844858))
+
+
 ## [3.3.4](https://github.com/googleapis/python-bigquery/compare/v3.3.3...v3.3.4) (2022-09-29)
 
 
diff --git a/google/cloud/bigquery/version.py b/google/cloud/bigquery/version.py
index 3e1a9869c..3e3aa5f8d 100644
--- a/google/cloud/bigquery/version.py
+++ b/google/cloud/bigquery/version.py
@@ -12,4 +12,4 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
-__version__ = "3.3.4"
+__version__ = "3.3.5"
diff --git a/setup.py b/setup.py
index be02dc409..695ffd7d3 100644
--- a/setup.py
+++ b/setup.py
@@ -42,7 +42,7 @@
     "google-cloud-core >= 1.4.1, <3.0.0dev",
     "google-resumable-media >= 0.6.0, < 3.0dev",
     "packaging >= 14.3, <22.0.0dev",
-    "protobuf >= 3.20.2, <5.0.0dev",  # For the legacy proto-based types.
+    "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",  # For the legacy proto-based types.
     "python-dateutil >= 2.7.2, <3.0dev",
     "pyarrow >= 3.0.0, < 10.0dev",
     "requests >= 2.18.0, < 3.0.0dev",
diff --git a/testing/constraints-3.7.txt b/testing/constraints-3.7.txt
index 3b07dc9fa..c9e40d823 100644
--- a/testing/constraints-3.7.txt
+++ b/testing/constraints-3.7.txt
@@ -18,7 +18,7 @@ opentelemetry-instrumentation==0.20b0
 opentelemetry-sdk==1.1.0
 pandas==1.1.0
 proto-plus==1.22.0
-protobuf==3.20.2
+protobuf==3.19.5
 pyarrow==3.0.0
 python-dateutil==2.7.3
 requests==2.18.0