diff --git a/chromadb/execution/expression/operator.py b/chromadb/execution/expression/operator.py
index 176d87eb987..d10267759b1 100644
--- a/chromadb/execution/expression/operator.py
+++ b/chromadb/execution/expression/operator.py
@@ -438,10 +438,11 @@ class Key:
 
     def __init__(self, name: str):
         self.name = name
+        self._hash = hash(name)
 
     def __hash__(self) -> int:
         """Make Key hashable for use in sets"""
-        return hash(self.name)
+        return self._hash
 
     # Comparison operators
     def __eq__(self, value: Any) -> Eq:  # type: ignore[override]