diff --git a/.travis.yml b/.travis.yml
index fd6657de0d6..2739d02a9a0 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -76,6 +76,13 @@ matrix:
     env: TOXENV=pypy3
     before_install: sudo apt-get update && sudo apt-get install libgnutls-dev
     stage: test
+  allow_failures:
+  - python: pypy2.7-7.2
+    env: TOXENV=pypy
+  - python: pypy3.5-7.0
+    env: TOXENV=pypy3
+  - python: pypy3.6-7.2
+    env: TOXENV=pypy3
 
 before_install:
     - sudo apt install libcurl4-openssl-dev libssl-dev gnutls-dev