diff --git a/tests/CMakeLists.txt b/tests/CMakeLists.txt
index 72ece878..3235c36b 100644
--- a/tests/CMakeLists.txt
+++ b/tests/CMakeLists.txt
@@ -202,9 +202,6 @@ set_tests_properties(TagAlias PROPERTIES
 add_test(NAME RandomTestOrdering COMMAND ${PYTHON_EXECUTABLE}
   ${CATCH_DIR}/tests/TestScripts/testRandomOrder.py $<TARGET_FILE:SelfTest>)
 
-add_test(NAME TestTimeThreshold COMMAND ${PYTHON_EXECUTABLE}
-  ${CATCH_DIR}/tests/TestScripts/testTimeThreshold.py $<TARGET_FILE:SelfTest>)
-
 add_test(NAME CheckConvenienceHeaders
   COMMAND
     ${PYTHON_EXECUTABLE} ${CATCH_DIR}/tools/scripts/checkConvenienceHeaders.py
diff --git a/tests/ExtraTests/CMakeLists.txt b/tests/ExtraTests/CMakeLists.txt
index 4946d842..3c6da4d5 100644
--- a/tests/ExtraTests/CMakeLists.txt
+++ b/tests/ExtraTests/CMakeLists.txt
@@ -8,6 +8,31 @@ project( Catch2ExtraTests LANGUAGES CXX )
 
 message( STATUS "Extra tests included" )
 
+# The MinDuration reporting tests do not need separate compilation, but
+# they have non-trivial execution time, so they are categorized as
+# extra tests, so that they are run less.
+add_test(NAME MinDuration::SimpleThreshold COMMAND $<TARGET_FILE:SelfTest> --min-duration 0.15 [min_duration_test])
+set_tests_properties(
+    MinDuration::SimpleThreshold
+  PROPERTIES
+    PASS_REGULAR_EXPRESSION "s: sleep_for_200ms"
+    FAIL_REGULAR_EXPRESSION "sleep_for_100ms"
+    RUN_SERIAL ON  # The test is timing sensitive, so we want to run it
+    # serially to avoid false positives on oversubscribed machines
+)
+
+# -d yes overrides the threshold, so we should see the faster test even
+# with a ridiculous high min duration threshold
+add_test(NAME MinDuration::DurationOverrideYes COMMAND $<TARGET_FILE:SelfTest> --min-duration 1.0 -d yes [min_duration_test])
+set_tests_properties(
+    MinDuration::DurationOverrideYes
+  PROPERTIES
+    PASS_REGULAR_EXPRESSION "s: sleep_for_100ms"
+)
+
+
+# ------------ end of duration reporting tests
+
 # define folders used:
 set( TESTS_DIR   ${CATCH_DIR}/tests/ExtraTests )
 
diff --git a/tests/TestScripts/testTimeThreshold.py b/tests/TestScripts/testTimeThreshold.py
deleted file mode 100644
index 51804aae..00000000
--- a/tests/TestScripts/testTimeThreshold.py
+++ /dev/null
@@ -1,41 +0,0 @@
-#!/usr/bin/env python3
-
-import subprocess
-import sys
-
-def run_tests_with_threshold(self_test_exe, threshold):
-    cmd = [self_test_exe, '--min-duration', str(threshold),
-            '[min_duration_test]']
-    process = subprocess.Popen(
-            cmd, stdout=subprocess.PIPE, stderr=subprocess.PIPE)
-    stdout, stderr = process.communicate()
-    if stderr:
-        raise RuntimeError("Unexpected error output:\n" +
-                stderr.decode())
-    if process.returncode != 0:
-        raise RuntimeError("Unexpected failure to run tests\n")
-    result = stdout.split(b'\n')
-    report_lines = [s.split() for s in result if b' s: ' in s]
-    tests_reported = [l[2] for l in report_lines]
-    times_reported = [float(l[0]) for l in report_lines]
-    return tests_reported, times_reported
-
-def check_times_at_least(times_reported, minimum):
-    for time in times_reported:
-        assert time >= minimum, (
-                'Time {} was less that requested minimum {}' .format(
-                    time, minimum))
-
-def main():
-    self_test_exe, = sys.argv[1:]
-    tests, times = run_tests_with_threshold(self_test_exe, '0.15')
-    assert tests == [b'sleep_for_200ms'], (
-            "Unexpected tests reported %s" % tests)
-    check_times_at_least(times, 0.15)
-    tests,times = run_tests_with_threshold(self_test_exe, '0')
-    assert tests == [b'sleep_for_100ms', b'sleep_for_200ms'], (
-            "Unexpected tests reported %s" % tests)
-    check_times_at_least(times, 0)
-
-if __name__ == '__main__':
-    sys.exit(main())