diff --git a/appveyor.yml b/appveyor.yml
index b93a3a88930..64b383a1e40 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -12,15 +12,15 @@ environment:
       PYTHON_ARCH:    "64"
       USE_QT_API:     "PyQt5"
 
-    - PYTHON:         "C:\\Python35_64"
-      PYTHON_VERSION: "3.5"
-      PYTHON_ARCH:    "64"
-      USE_QT_API:     "PyQt4"
+    #- PYTHON:         "C:\\Python35_64"
+    #  PYTHON_VERSION: "3.5"
+    #  PYTHON_ARCH:    "64"
+    #  USE_QT_API:     "PyQt4"
 
-    - PYTHON:         "C:\\Python27_64"
-      PYTHON_VERSION: "2.7"
-      PYTHON_ARCH:    "64"
-      USE_QT_API:     "PyQt4"
+    #- PYTHON:         "C:\\Python27_64"
+    #  PYTHON_VERSION: "2.7"
+    #  PYTHON_ARCH:    "64"
+    #  USE_QT_API:     "PyQt4"
 
 install:
   - powershell .\\continuous_integration\\appveyor\\install.ps1
diff --git a/continuous_integration/appveyor/modules_test.bat b/continuous_integration/appveyor/modules_test.bat
index 97281eabc82..d10d634c830 100644
--- a/continuous_integration/appveyor/modules_test.bat
+++ b/continuous_integration/appveyor/modules_test.bat
@@ -24,6 +24,14 @@ for /r "%SPYDER%" %%f in (*.py) do (
         :: We don't want py.test's to be run here
         echo --- NOT testing %%f ---
         echo.
+    ) else if not "!file:site\=!"=="!file!" (
+        :: We can't test our site files
+        echo --- NOT testing %%f ---
+        echo.
+    ) else if not "!file:ipython\=!"=="!file!" (
+        :: We can't test these files outside of our IPython console
+        echo --- NOT testing %%f ---
+        echo.
     ) else if "%%f"=="%SPYDER%\utils\qthelpers.py" (
         echo --- NOT testing %%f ---
         echo.
@@ -54,18 +62,6 @@ for /r "%SPYDER%" %%f in (*.py) do (
         :: We have to investigate this failure!
         echo --- NOT testing %%f ---
         echo.
-    ) else if "%%f"=="%SPYDER%\utils\ipython\start_kernel.py" (
-        :: It can't be tested outside of a Qtconsole
-        echo --- NOT testing %%f ---
-        echo.
-    ) else if "%%f"=="%SPYDER%\utils\ipython\spyder_kernel.py" (
-        :: It can't be tested outside of a Qtconsole
-        echo --- NOT testing %%f ---
-        echo.
-    ) else if "%%f"=="%SPYDER%\utils\site\sitecustomize.py" (
-        :: It can't be tested outside of a Python console
-        echo --- NOT testing %%f ---
-        echo.
     ) else if "%%f"=="%SPYDER%\widgets\editor.py" (
         :: This is making AppVeyor to time out!
         echo --- NOT testing %%f ---