diff --git a/pyramid/tests/test_events.py b/pyramid/tests/test_events.py
index 4f9011cc04..793ac329f2 100644
--- a/pyramid/tests/test_events.py
+++ b/pyramid/tests/test_events.py
@@ -235,6 +235,7 @@ def _makeOne(self, system, val=None):
         from pyramid.events import BeforeRender
         return BeforeRender(system, val)
 
+    @testing.skip_on('pypy') # see https://github.com/Pylons/pyramid/issues/3237
     def test_instance_conforms(self):
         from zope.interface.verify import verifyObject
         from pyramid.interfaces import IBeforeRender
diff --git a/pyramid/tests/test_testing.py b/pyramid/tests/test_testing.py
index 0b4619de4f..86c2199884 100644
--- a/pyramid/tests/test_testing.py
+++ b/pyramid/tests/test_testing.py
@@ -1,5 +1,6 @@
 import unittest
 from zope.component import getSiteManager
+from pyramid import testing
 
 class TestDummyRootFactory(unittest.TestCase):
     def _makeOne(self, environ):
@@ -526,6 +527,7 @@ def _makeOne(self):
         from pyramid.testing import DummySession
         return DummySession()
 
+    @testing.skip_on('pypy') # see https://github.com/Pylons/pyramid/issues/3237
     def test_instance_conforms(self):
         from zope.interface.verify import verifyObject
         from pyramid.interfaces import ISession