diff --git a/salt/executors/sudo.py b/salt/executors/sudo.py
index d3321847a5..825fee979a 100644
--- a/salt/executors/sudo.py
+++ b/salt/executors/sudo.py
@@ -73,7 +73,7 @@ class SudoExecutor(ModuleExecutorBase):
                     '-c', salt.syspaths.CONFIG_DIR,
                     '--',
                     data.get('fun')]
-        if data['fun'] == 'state.sls':
+        if data['fun'] in ('state.sls', 'state.highstate', 'state.apply'):
             kwargs['concurrent'] = True
         for arg in args:
             self.cmd.append(_cmd_quote(str(arg)))