diff --git a/src/neo4j/_async/io/_bolt3.py b/src/neo4j/_async/io/_bolt3.py
index 773f6e71..a104c623 100644
--- a/src/neo4j/_async/io/_bolt3.py
+++ b/src/neo4j/_async/io/_bolt3.py
@@ -588,7 +588,8 @@ async def _process_message(self, tag, fields):
                     )
                 raise
             except Neo4jError as e:
-                await self.pool.on_neo4j_error(e, self)
+                if self.pool:
+                    await self.pool.on_neo4j_error(e, self)
                 raise
         else:
             sig_int = ord(summary_signature)
diff --git a/src/neo4j/_sync/io/_bolt3.py b/src/neo4j/_sync/io/_bolt3.py
index a66f3ead..9e548e3b 100644
--- a/src/neo4j/_sync/io/_bolt3.py
+++ b/src/neo4j/_sync/io/_bolt3.py
@@ -588,7 +588,8 @@ def _process_message(self, tag, fields):
                     )
                 raise
             except Neo4jError as e:
-                self.pool.on_neo4j_error(e, self)
+                if self.pool:
+                    self.pool.on_neo4j_error(e, self)
                 raise
         else:
             sig_int = ord(summary_signature)