diff --git a/pyproject.toml b/pyproject.toml
index 90153e9de0..29551fda0d 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -32,7 +32,8 @@ classifiers = [
 ]
 requires-python = ">=3.7.2"
 dependencies    = [
-    "dill>=0.2",
+    "dill>=0.2;python_version<'3.11'",
+    "dill>=0.3.6;python_version>='3.11'",
     "platformdirs>=2.2.0",
     # Also upgrade requirements_test_min.txt.
     # Pinned to dev of second minor update to allow editable installs and fix primer issues,