diff --git a/changes/bug27675 b/changes/bug27675
new file mode 100644
index 0000000000..e4c3eb5a05
--- /dev/null
+++ b/changes/bug27675
@@ -0,0 +1,3 @@
+  o Minor bugfixes (testing):
+    - In test_rebind.py check if Python version is in supported
+      ranges. Fixes bug 27675; bugfix on 0.3.5.1-alpha.
diff --git a/src/test/test_rebind.py b/src/test/test_rebind.py
index f02cb79b78..7ba3a5796d 100644
--- a/src/test/test_rebind.py
+++ b/src/test/test_rebind.py
@@ -1,5 +1,3 @@
-#!/usr/bin/python3
-
 from __future__ import print_function
 
 import sys
@@ -37,6 +35,12 @@ def pick_random_port():
 
     return port
 
+if sys.hexversion < 0x02070000:
+    sys.exit("ERROR: unsupported Python version (should be >= 2.7)")
+
+if sys.hexversion > 0x03000000 and sys.hexversion < 0x03010000:
+    sys.exit("ERROR: unsupported Python3 version (should be >= 3.1)")
+
 control_port = pick_random_port()
 socks_port = pick_random_port()