diff --git a/.coveragerc b/.coveragerc
index 2ae3ab8..11f8501 100644
--- a/.coveragerc
+++ b/.coveragerc
@@ -10,8 +10,3 @@ exclude_lines =
     pragma: NO COVER
     # Ignore debug-only repr
     def __repr__
-    # Ignore pkg_resources exceptions.
-    # This is added at the module level as a safeguard for if someone
-    # generates the code and tries to run it without pip installing. This
-    # makes it virtually impossible to test properly.
-    except pkg_resources.DistributionNotFound
diff --git a/setup.py b/setup.py
index f9d7530..f452dde 100644
--- a/setup.py
+++ b/setup.py
@@ -38,7 +38,7 @@
     release_status = "Development Status :: 5 - Production/Stable"
 
 dependencies = [
-    "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.*",
+    "google-api-core[grpc] >= 1.34.0, <3.0.0dev,!=2.0.*,!=2.1.*,!=2.2.*,!=2.3.*,!=2.4.*,!=2.5.*,!=2.6.*,!=2.7.*,!=2.8.*,!=2.9.*,!=2.10.*",
     "proto-plus >= 1.22.0, <2.0.0dev",
     "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 883a87a..2beecf9 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==1.33.2
+google-api-core==1.34.0
 proto-plus==1.22.0
 protobuf==3.19.5
 grpc-google-iam-v1==0.12.4