diff --git a/pandas/tests/indexes/period/test_to_timestamp.py b/pandas/tests/indexes/period/test_to_timestamp.py
index 23787586cb3d3..0df7d873dcb7d 100644
--- a/pandas/tests/indexes/period/test_to_timestamp.py
+++ b/pandas/tests/indexes/period/test_to_timestamp.py
@@ -10,6 +10,7 @@
     Timedelta,
     Timestamp,
     date_range,
+    offsets,
     period_range,
 )
 import pandas._testing as tm
@@ -99,3 +100,11 @@ def test_to_timestamp_1703(self):
 
         result = index.to_timestamp()
         assert result[0] == Timestamp("1/1/2012")
+
+    def test_period_dateoffset_conversion(self):
+        # GH5091
+        expected = date_range("1/1/2012", periods=4, freq=offsets.BQuarterEnd())
+        per = expected.to_period()
+        result = per.to_timestamp()
+
+        tm.assert_index_equal(result, expected)