diff --git a/tests/test_rtutil.py b/tests/test_rtutil.py
index 18ff59447c488a6b1eff76da794ff5f2f4af9106..6bfd6b763c7cdfab5e7f16e2137571f82a1b8d2f 100644
--- a/tests/test_rtutil.py
+++ b/tests/test_rtutil.py
@@ -6,6 +6,7 @@
 # LICENSE.txt in the repository.
 
 import contextlib
+import datetime
 import itertools
 import logging
 import re
@@ -287,3 +288,34 @@ def test_txn_with_urls_with_fmts(rt):
         f'<{DEFAULT_RT_URL}{statement_path}>',
         '[stmt.txt]',
     ])
+
+@pytest.mark.parametrize('arg,exp_num,exp_offset', [
+    # These correspond to the different datetime formats available through
+    # RT's user settings.
+    ('Mon Mar 1 01:01:01 2021', 1, None),
+    ('2021-03-02 02:02:02', 2, None),
+    ('2021-03-03T03:03:03-0500', 3, -18000),
+    ('Thu, 4 Mar 2021 04:04:04 -0600', 4, -21600),
+    ('Fri, 5 Mar 2021 05:05:05 GMT', 5, 0),
+    ('20210306T060606Z', 6, 0),
+    ('Sun, Mar 7, 2021 07:07:07 AM', 7, None),
+    ('Sun, Mar 14, 2021 02:14:14 PM', 14, None),
+])
+def test_rt_datetime(arg, exp_num, exp_offset):
+    actual = rtutil.RTDateTime(arg)
+    assert actual.year == 2021
+    assert actual.month == 3
+    assert actual.day == exp_num
+    assert actual.hour == exp_num
+    assert actual.minute == exp_num
+    assert actual.second == exp_num
+    if exp_offset is None:
+        assert actual.tzinfo is None
+    else:
+        assert actual.tzinfo.utcoffset(None).total_seconds() == exp_offset
+
+@pytest.mark.parametrize('arg', ['Not set', '', None])
+def test_rt_datetime_empty(arg):
+    actual = rtutil.RTDateTime(arg)
+    assert actual == datetime.datetime.min
+    assert actual.tzinfo is None