diff --git a/pandas/core/common.py b/pandas/core/common.py
index 48fb75f59ac34..07b0b8da55786 100644
--- a/pandas/core/common.py
+++ b/pandas/core/common.py
@@ -1543,7 +1543,8 @@ def _interp_limit(invalid, limit):
         inds = inds[firstIndex:]
 
         result[firstIndex:][invalid] = np.interp(inds[invalid], inds[valid],
-                                                 yvalues[firstIndex:][valid])
+                                                 yvalues[firstIndex:][valid],
+                                                 np.nan, np.nan)
 
         if limit:
             result[violate_limit] = np.nan
diff --git a/pandas/tests/test_generic.py b/pandas/tests/test_generic.py
index 001d6f489e934..63d91a430b4c7 100644
--- a/pandas/tests/test_generic.py
+++ b/pandas/tests/test_generic.py
@@ -638,6 +638,12 @@ def test_interp_datetime64(self):
         result = df.interpolate(method='nearest')
         expected = Series([1., 1., 3.], index=date_range('1/1/2000', periods=3))
         assert_series_equal(result, expected)
+        
+    def test_interp_trailing_nan(self):
+        s = Series([np.nan, 1, np.nan, 3, np.nan])
+        result = s.interpolate()
+        expected = Series([np.nan, 1, 2, 3, np.nan])
+        assert_series_equal(result, expected)
 
     def test_describe(self):
         _ = self.series.describe()