diff --git a/Lib/test/test_multiprocessing_main_handling.py b/Lib/test/test_multiprocessing_main_handling.py
index 7c201a30bc5..e4442d20e01 100644
--- a/Lib/test/test_multiprocessing_main_handling.py
+++ b/Lib/test/test_multiprocessing_main_handling.py
@@ -15,9 +15,9 @@ from test.script_helper import (
     assert_python_ok, assert_python_failure, temp_dir,
     spawn_python, kill_python)
 
-# We look inside the context module to find out which
-# start methods we can check
-from multiprocessing.context import _concrete_contexts
+# Look up which start methods are available to test
+import multiprocessing
+AVAILABLE_START_METHODS = set(multiprocessing.get_all_start_methods())
 
 verbose = support.verbose
 
@@ -51,7 +51,7 @@ if __name__ == '__main__':
     p = Pool(5)
     results = []
     p.map_async(f, [1, 2, 3], callback=results.extend)
-    deadline = time.time() + 2 # up to 2 s to report the results
+    deadline = time.time() + 5 # up to 5 s to report the results
     while not results:
         time.sleep(0.05)
         if time.time() > deadline:
@@ -79,7 +79,7 @@ set_start_method(start_method)
 p = Pool(5)
 results = []
 p.map_async(int, [1, 4, 9], callback=results.extend)
-deadline = time.time() + 2 # up to 2 s to report the results
+deadline = time.time() + 5 # up to 5 s to report the results
 while not results:
     time.sleep(0.05)
     if time.time() > deadline:
@@ -131,7 +131,7 @@ class MultiProcessingCmdLineMixin():
     maxDiff = None # Show full tracebacks on subprocess failure
 
     def setUp(self):
-        if self.start_method not in _concrete_contexts:
+        if self.start_method not in AVAILABLE_START_METHODS:
             self.skipTest("%r start method not available" % self.start_method)
 
     def _check_output(self, script_name, exit_code, out, err):