diff --git a/appveyor.yml b/appveyor.yml
index c1f7960..806e060 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -27,9 +27,13 @@ environment:
       APPVEYOR_BUILD_WORKER_IMAGE: Visual Studio 2019
     - ARGS: toolset=gcc address-model=32 cxxstd=03,11,14,1z
       PATH: C:\cygwin\bin;%PATH%
+      # Cygwin does not have python headers installed, the compiler picks up Win32 headers in C:\Python27\Include and fails
+      BOOST_PARAMETER_TEST_WITHOUT_PYTHON_TESTS: 1
       APPVEYOR_BUILD_WORKER_IMAGE: Visual Studio 2015
     - ARGS: toolset=gcc address-model=64 cxxstd=03,11,14,1z
       PATH: C:\cygwin64\bin;%PATH%
+      # Cygwin64 does not have python headers installed, the compiler picks up Win32 headers in C:\Python27\Include and fails
+      BOOST_PARAMETER_TEST_WITHOUT_PYTHON_TESTS: 1
       APPVEYOR_BUILD_WORKER_IMAGE: Visual Studio 2015
     - ARGS: toolset=gcc address-model=32 cxxstd=03,11 linkflags=-Wl,-allow-multiple-definition
       PATH: C:\MinGW\bin;%PATH%
diff --git a/test/Jamfile.v2 b/test/Jamfile.v2
index d9ccdbf..eb5f7d1 100644
--- a/test/Jamfile.v2
+++ b/test/Jamfile.v2
@@ -6,6 +6,7 @@
 
 # Boost Parameter Library test Jamfile
 
+import os ;
 import testing ;
 
 project boost/parameter
@@ -492,68 +493,75 @@ alias parameter_literate_tests
     ]
     ;
 
-alias parameter_python_test
-    :
-    :
-        # Python fails for clang on linux with cxxstd set to 14
-        <target-os>linux
-        <toolset>clang
-        <cxxstd>14
-    ;
+if ! [ os.environ BOOST_PARAMETER_TEST_WITHOUT_PYTHON_TESTS ]
+{
+    alias parameter_python_test
+        :
+        :
+            # Python fails for clang on linux with cxxstd set to 14
+            <target-os>linux
+            <toolset>clang
+            <cxxstd>14
+        ;
 
-alias parameter_python_test
-    :
-    :
-        # Python fails for clang on linux with cxxstd set to 1z
-        <target-os>linux
-        <toolset>clang
-        <cxxstd>1z
-    ;
+    alias parameter_python_test
+        :
+        :
+            # Python fails for clang on linux with cxxstd set to 1z
+            <target-os>linux
+            <toolset>clang
+            <cxxstd>1z
+        ;
 
-alias parameter_python_test
-    :
-    :
-        # Python fails for xcode 8.3.0 on osx
-        # so we turn off this test for this compiler completely for now
-        <target-os>darwin
-        # TODO: Differentiate by xcode version or by clang version
-    ;
+    alias parameter_python_test
+        :
+        :
+            # Python fails for xcode 8.3.0 on osx
+            # so we turn off this test for this compiler completely for now
+            <target-os>darwin
+            # TODO: Differentiate by xcode version or by clang version
+        ;
 
-alias parameter_python_test
-    :
-    :
-        # Python fails for mingw compilers with cxxstd set to 11 or higher
-        # because of a Python header problem
-        # so we turn off this test for this compiler completely
-        <target-os>windows
-        <toolset>gcc
-        <address-model>32
-    ;
+    alias parameter_python_test
+        :
+        :
+            # Python fails for mingw compilers with cxxstd set to 11 or higher
+            # because of a Python header problem
+            # so we turn off this test for this compiler completely
+            <target-os>windows
+            <toolset>gcc
+            <address-model>32
+        ;
 
-alias parameter_python_test
-    :
-    :
-        # Python fails for clang-linux compilers with cxxstd set to 11 or higher
-        # because of a Python header problem
-        # so we turn off this test for this compiler completely
-        <target-os>windows
-        <toolset>clang-linux
-        <address-model>32
-    ;
+    alias parameter_python_test
+        :
+        :
+            # Python fails for clang-linux compilers with cxxstd set to 11 or higher
+            # because of a Python header problem
+            # so we turn off this test for this compiler completely
+            <target-os>windows
+            <toolset>clang-linux
+            <address-model>32
+        ;
 
-alias parameter_python_test
-    :
-    :
-        # Python fails for windows compilers with 64-bit addressing set
-        # because of a Python header problem
-        <target-os>windows
-        <address-model>64
-    ;
+    alias parameter_python_test
+        :
+        :
+            # Python fails for windows compilers with 64-bit addressing set
+            # because of a Python header problem
+            <target-os>windows
+            <address-model>64
+        ;
 
-alias parameter_python_test
-    :
-    [ bpl-test python_test ]
-    ;
+    alias parameter_python_test
+        :
+        [ bpl-test python_test ]
+        ;
+}
+else
+{
+    alias parameter_python_test ;
+}
 
 alias parameter_macros_eval_category
     :