diff --git a/tests/net/webrequest.cpp b/tests/net/webrequest.cpp
index 966382ec4a..d5d3482735 100644
--- a/tests/net/webrequest.cpp
+++ b/tests/net/webrequest.cpp
@@ -336,6 +336,16 @@ TEST_CASE_METHOD(RequestFixture,
     if (!InitBaseURL())
         return;
 
+    // For some reason this test sporadically fails under AppVeyor, so don't
+    // run it there.
+#ifdef __WINDOWS__
+    if ( IsAutomaticTest() )
+    {
+        WARN("Skipping DisablePeerVerify() test known to sporadically fail.");
+        return;
+    }
+#endif // __WINDOWS__
+
     CreateAbs("https://self-signed.badssl.com/");
     request.DisablePeerVerify();
     Run(wxWebRequest::State_Completed, 200);