diff --git a/parmap.py b/parmap.py
index 63d77f0e67a9b9af7f32365f6c6a96be9394e20a..5107c09ae3c0644079e0aefd56c747948499d9e6 100644
--- a/parmap.py
+++ b/parmap.py
@@ -43,11 +43,11 @@ def worker_fun(f, q_in, q_out, multimap, chunksize):
 
 
 def parmap(f, X, nprocs = None, chunksize = 1, chunks_in_flight = None,
-           inOrder = True, multimap = False, out_chunksize = None):
+           in_order = True, multimap = False, out_chunksize = None):
     if nprocs is None:
       nprocs = multiprocessing.cpu_count()
 
-    if inOrder:
+    if in_order:
       out_chunksize = None
 
     if out_chunksize is not None:
@@ -87,7 +87,7 @@ def parmap(f, X, nprocs = None, chunksize = 1, chunks_in_flight = None,
           running_workers -= 1
           continue
 
-        if not inOrder:
+        if not in_order:
           if out_chunksize is None:
             cont.release()
           if val is None: