diff --git a/run_project_tests.py b/run_project_tests.py
index c37d10e..3e1a4d1 100755
--- a/run_project_tests.py
+++ b/run_project_tests.py
@@ -1543,10 +1543,15 @@
         # This fails in some CI environments for unknown reasons.
         num_workers = multiprocessing.cpu_count()
     except Exception as e:
-        print('Could not determine number of CPUs due to the following reason:' + str(e))
+        print('Could not determine number of CPUs due to the following reason:', str(e))
         print('Defaulting to using only two processes')
         num_workers = 2
 
+    if num_workers > 64:
+        # Too much parallelism seems to trigger a potential Python bug:
+        # https://bugs.debian.org/cgi-bin/bugreport.cgi?bug=1004107
+        num_workers = 64
+
     parser = argparse.ArgumentParser(description="Run the test suite of Meson.")
     parser.add_argument('extra_args', nargs='*',
                         help='arguments that are passed directly to Meson (remember to have -- before these).')