@@ -1068,7 +1068,7 @@ def delete_table(self, table, retry=DEFAULT_RETRY, not_found_ok=False):
                 raise
 
     def _get_query_results(
-        self, job_id, retry, project=None, timeout_ms=None, location=None
+        self, job_id, retry, project=None, timeout_ms=None, location=None, timeout=None,
     ):
         """Get the query results object for a query job.
 
@@ -1083,6 +1083,9 @@ def _get_query_results(
                 (Optional) number of milliseconds the the API call should
                 wait for the query to complete before the request times out.
             location (str): Location of the query job.
+            timeout (Optional[float]):
+                The number of seconds to wait for the underlying HTTP transport
+                before retrying the HTTP request.
 
         Returns:
             google.cloud.bigquery.query._QueryResults:
@@ -1109,7 +1112,7 @@ def _get_query_results(
         # job is complete (from QueryJob.done(), called ultimately from
         # QueryJob.result()). So we don't need to poll here.
         resource = self._call_api(
-            retry, method="GET", path=path, query_params=extra_params
+            retry, method="GET", path=path, query_params=extra_params, timeout=timeout
         )
         return _QueryResults.from_api_repr(resource)
 
 
@@ -663,7 +663,7 @@ def exists(self, client=None, retry=DEFAULT_RETRY):
         else:
             return True
 
-    def reload(self, client=None, retry=DEFAULT_RETRY):
+    def reload(self, client=None, retry=DEFAULT_RETRY, timeout=None):
         """API call:  refresh job properties via a GET request.
 
         See
@@ -675,6 +675,9 @@ def reload(self, client=None, retry=DEFAULT_RETRY):
                 ``client`` stored on the current dataset.
 
             retry (google.api_core.retry.Retry): (Optional) How to retry the RPC.
+            timeout (Optional[float]):
+                The number of seconds to wait for the underlying HTTP transport
+                before retrying the HTTP request.
         """
         client = self._require_client(client)
 
@@ -683,7 +686,11 @@ def reload(self, client=None, retry=DEFAULT_RETRY):
             extra_params["location"] = self.location
 
         api_response = client._call_api(
-            retry, method="GET", path=self.path, query_params=extra_params
+            retry,
+            method="GET",
+            path=self.path,
+            query_params=extra_params,
+            timeout=timeout,
         )
         self._set_properties(api_response)
 
@@ -2994,9 +3001,16 @@ def estimated_bytes_processed(self):
             result = int(result)
         return result
 
-    def done(self, retry=DEFAULT_RETRY):
+    def done(self, retry=DEFAULT_RETRY, timeout=None):
         """Refresh the job and checks if it is complete.
 
+        Args:
+            retry (Optional[google.api_core.retry.Retry]):
+                How to retry the call that retrieves query results.
+            timeout (Optional[float]):
+                The number of seconds to wait for the underlying HTTP transport
+                before retrying the HTTP request.
+
         Returns:
             bool: True if the job is complete, False otherwise.
         """
@@ -3007,11 +3021,17 @@ def done(self, retry=DEFAULT_RETRY):
         timeout_ms = None
         if self._done_timeout is not None:
             # Subtract a buffer for context switching, network latency, etc.
-            timeout = self._done_timeout - _TIMEOUT_BUFFER_SECS
-            timeout = max(min(timeout, 10), 0)
-            self._done_timeout -= timeout
+            api_timeout = self._done_timeout - _TIMEOUT_BUFFER_SECS
+            api_timeout = max(min(api_timeout, 10), 0)
+            self._done_timeout -= api_timeout
             self._done_timeout = max(0, self._done_timeout)
-            timeout_ms = int(timeout * 1000)
+            timeout_ms = int(api_timeout * 1000)
+
+        if timeout_ms is not None and timeout_ms > 0:
+            if timeout is not None:
+                timeout = min(timeout_ms, timeout)
+            else:
+                timeout = timeout_ms
 
         # Do not refresh is the state is already done, as the job will not
         # change once complete.
@@ -3022,13 +3042,14 @@ def done(self, retry=DEFAULT_RETRY):
                 project=self.project,
                 timeout_ms=timeout_ms,
                 location=self.location,
+                timeout=timeout,
             )
 
             # Only reload the job once we know the query is complete.
             # This will ensure that fields such as the destination table are
             # correctly populated.
             if self._query_results.complete:
-                self.reload(retry=retry)
+                self.reload(retry=retry, timeout=timeout)
 
         return self.state == _DONE_STATE