diff --git a/neo4j/_async_compat/network/_bolt_socket.py b/neo4j/_async_compat/network/_bolt_socket.py
index 2891e5ce..27004188 100644
--- a/neo4j/_async_compat/network/_bolt_socket.py
+++ b/neo4j/_async_compat/network/_bolt_socket.py
@@ -274,20 +274,20 @@ async def _handshake(self, resolved_address):
             # If no data is returned after a successful select
             # response, the server has closed the connection
             log.debug("[#%04X]  S: <CLOSE>", local_port)
-            self.close()
+            await self.close()
             raise ServiceUnavailable(
                 "Connection to {address} closed without handshake response".format(
                     address=resolved_address))
         if data_size != 4:
             # Some garbled data has been received
             log.debug("[#%04X]  S: @*#!", local_port)
-            self.close()
+            await self.close()
             raise BoltProtocolError(
                 "Expected four byte Bolt handshake response from %r, received %r instead; check for incorrect port number" % (
                 resolved_address, data), address=resolved_address)
         elif data == b"HTTP":
             log.debug("[#%04X]  S: <CLOSE>", local_port)
-            self.close()
+            await self.close()
             raise ServiceUnavailable(
                 "Cannot to connect to Bolt service on {!r} "
                 "(looks like HTTP)".format(resolved_address))
@@ -298,14 +298,14 @@ async def _handshake(self, resolved_address):
 
     @classmethod
     async def close_socket(cls, socket_):
-        if isinstance(socket_, socket):
-            try:
+        try:
+            if isinstance(socket_, AsyncBoltSocket):
+                await socket_.close()
+            else:
                 socket_.shutdown(SHUT_RDWR)
                 socket_.close()
-            except OSError:
-                pass
-        else:
-            await socket_.close()
+        except OSError:
+            pass
 
     @classmethod
     async def connect(cls, address, *, timeout, custom_resolver, ssl_context,
@@ -417,6 +417,10 @@ def recv_into(self, buffer, nbytes):
     def sendall(self, data):
         return self._wait_for_io(self._socket.sendall, data)
 
+    def close(self):
+        self._socket.shutdown(SHUT_RDWR)
+        self._socket.close()
+
     @classmethod
     def _connect(cls, resolved_address, timeout, keep_alive):
         """
@@ -555,8 +559,11 @@ def _handshake(cls, s, resolved_address):
     @classmethod
     def close_socket(cls, socket_):
         try:
-            socket_.shutdown(SHUT_RDWR)
-            socket_.close()
+            if isinstance(socket_, BoltSocket):
+                socket.close()
+            else:
+                socket_.shutdown(SHUT_RDWR)
+                socket_.close()
         except OSError:
             pass