diff --git a/pandas/core/computation/ops.py b/pandas/core/computation/ops.py
index ca0c4db4947c4..e9403a48dd157 100644
--- a/pandas/core/computation/ops.py
+++ b/pandas/core/computation/ops.py
@@ -466,7 +466,8 @@ def __init__(self, lhs, rhs, truediv, *args, **kwargs):
 
         if truediv or PY3:
             # do not upcast float32s to float64 un-necessarily
-            acceptable_dtypes = [np.float32, np.float_]
+            acceptable_dtypes = [np.float32, np.float_,
+                                 np.complex64, np.complex_]
             _cast_inplace(com.flatten(self), acceptable_dtypes, np.float_)