diff --git a/biomedicus_client/pyproject.toml b/biomedicus_client/pyproject.toml
index a833d287..a111b864 100644
--- a/biomedicus_client/pyproject.toml
+++ b/biomedicus_client/pyproject.toml
@@ -36,7 +36,7 @@ classifiers = [
     'Topic :: Text Processing :: Linguistic'
 ]
 dependencies = [
-    "mtap==1.4.0",
+    "mtap>=1.4.0",
     "grpcio==1.60.1",
     "grpcio-health-checking==1.60.1",
     "grpcio-status==1.60.1",
diff --git a/pyproject.toml b/pyproject.toml
index d5c4762f..fdd78ad3 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -34,7 +34,7 @@ classifiers = [
     'Topic :: Text Processing :: Linguistic'
 ]
 dependencies = [
-    "biomedicus_client==3.4.0",  # We get mtap, tqdm, and importlib_resources transitively from the client
+    "biomedicus_client>=3.4.0",  # We get mtap, tqdm, and importlib_resources transitively from the client
     "numpy==1.26.4",
     "regex==2023.12.25",
     "torch==2.2.0",