diff --git a/celery/apps/multi.py b/celery/apps/multi.py
index 90c9cf0356d..baa2fa8b9e1 100644
--- a/celery/apps/multi.py
+++ b/celery/apps/multi.py
@@ -151,8 +151,8 @@ def _setdefaultopt(self, d, alt, value):
                 return d[opt]
             except KeyError:
                 pass
-        path_split = value.split("/")
-        dir_path = "/".join(path_split[0:-1])
+        value = os.path.normpath(value)
+        dir_path = os.path.dirname(value)
         if not os.path.exists(dir_path):
             os.makedirs(dir_path)
         return d.setdefault(alt[0], value)
diff --git a/t/unit/apps/test_multi.py b/t/unit/apps/test_multi.py
index 1d60c7259aa..16add3c48b1 100644
--- a/t/unit/apps/test_multi.py
+++ b/t/unit/apps/test_multi.py
@@ -3,6 +3,7 @@
 import errno
 import signal
 import sys
+import os
 
 import pytest
 from case import Mock, call, patch, skip
@@ -113,8 +114,8 @@ def assert_line_in(name, args):
 
         def _args(name, *args):
             return args + (
-                '--pidfile=/var/run/celery/{}.pid'.format(name),
-                '--logfile=/var/log/celery/{}%I.log'.format(name),
+                '--pidfile={}.pid'.format(os.path.join(os.path.normpath('/var/run/celery/'), name)),
+                '--logfile={}%I.log'.format(os.path.join(os.path.normpath('/var/log/celery/'), name)),
                 '--executable={0}'.format(sys.executable),
                 '',
             )
@@ -194,10 +195,10 @@ def test_from_kwargs(self):
             '--executable={0}'.format(n.executable),
             '-O fair',
             '-n foo@bar.com',
-            '--logfile=/var/log/celery/foo%I.log',
+            '--logfile={}'.format(os.path.normpath('/var/log/celery/foo%I.log')),
             '-Q q1,q2',
             '--max-tasks-per-child=30',
-            '--pidfile=/var/run/celery/foo.pid',
+            '--pidfile={}'.format(os.path.normpath('/var/run/celery/foo.pid')),
             '',
         ])
 
@@ -275,7 +276,7 @@ def test_handle_process_exit__signalled(self):
 
     def test_logfile(self):
         assert self.node.logfile == self.expander.return_value
-        self.expander.assert_called_with('/var/log/celery/%n%I.log')
+        self.expander.assert_called_with(os.path.normpath('/var/log/celery/%n%I.log'))
 
 
 class test_Cluster:
@@ -375,8 +376,8 @@ def test_getpids(self):
         assert sorted(node_0.argv) == sorted([
             '',
             '--executable={0}'.format(node_0.executable),
-            '--logfile=/var/log/celery/foo%I.log',
-            '--pidfile=/var/run/celery/foo.pid',
+            '--logfile={}'.format(os.path.normpath('/var/log/celery/foo%I.log')),
+            '--pidfile={}'.format(os.path.normpath('/var/run/celery/foo.pid')),
             '-m celery worker --detach',
             '-n foo@e.com',
         ])
@@ -386,8 +387,8 @@ def test_getpids(self):
         assert sorted(node_1.argv) == sorted([
             '',
             '--executable={0}'.format(node_1.executable),
-            '--logfile=/var/log/celery/bar%I.log',
-            '--pidfile=/var/run/celery/bar.pid',
+            '--logfile={}'.format(os.path.normpath('/var/log/celery/bar%I.log')),
+            '--pidfile={}'.format(os.path.normpath('/var/run/celery/bar.pid')),
             '-m celery worker --detach',
             '-n bar@e.com',
         ])
@@ -404,8 +405,8 @@ def __init__(self, path):
 
             def read_pid(self):
                 try:
-                    return {'/var/run/celery/foo.pid': 10,
-                            '/var/run/celery/bar.pid': 11}[self.path]
+                    return {os.path.normpath('/var/run/celery/foo.pid'): 10,
+                            os.path.normpath('/var/run/celery/bar.pid'): 11}[self.path]
                 except KeyError:
                     raise ValueError()
         self.Pidfile.side_effect = pids