diff --git a/Lib/unittest/_log.py b/Lib/unittest/_log.py
index 961c448..94868e5 100644
--- a/Lib/unittest/_log.py
+++ b/Lib/unittest/_log.py
@@ -47,6 +47,7 @@ def __enter__(self):
             logger = self.logger = logging.getLogger(self.logger_name)
         formatter = logging.Formatter(self.LOGGING_FORMAT)
         handler = _CapturingHandler()
+        handler.setLevel(self.level)
         handler.setFormatter(formatter)
         self.watcher = handler.watcher
         self.old_handlers = logger.handlers[:]
diff --git a/Lib/unittest/test/test_case.py b/Lib/unittest/test/test_case.py
index 0e41696..b8aca92 100644
--- a/Lib/unittest/test/test_case.py
+++ b/Lib/unittest/test/test_case.py
@@ -1673,6 +1673,18 @@ def testAssertLogsFailureLevelTooHigh(self):
                 with self.assertLogs(level='WARNING'):
                     log_foo.info("1")
 
+    def testAssertLogsFailureLevelTooHigh_FilterInRootLogger(self):
+        # Failure due to level too high - message propagated to root
+        with self.assertNoStderr():
+            oldLevel = log_foo.level
+            log_foo.setLevel(logging.INFO)
+            try:
+                with self.assertRaises(self.failureException):
+                    with self.assertLogs(level='WARNING'):
+                        log_foo.info("1")
+            finally:
+                log_foo.setLevel(oldLevel)
+
     def testAssertLogsFailureMismatchingLogger(self):
         # Failure due to mismatching logger (and the logged message is
         # passed through)