diff --git a/cosmos/profiles/snowflake/user_pass.py b/cosmos/profiles/snowflake/user_pass.py
index 2e1025a2c..ce3ea6472 100644
--- a/cosmos/profiles/snowflake/user_pass.py
+++ b/cosmos/profiles/snowflake/user_pass.py
@@ -44,7 +44,7 @@ class SnowflakeUserPasswordProfileMapping(BaseProfileMapping):
     def can_claim_connection(self) -> bool:
         # Make sure this isn't a private key path credential
         result = super().can_claim_connection()
-        if result and self.conn.extra_dejson.get("private_key_file") is not None:
+        if result and self.conn.extra_dejson.get("private_key_file") is not None and self.conn.extra_dejson.get("private_key_content") is not None:
             return False
         return result