diff --git a/.travis.yml b/.travis.yml
index 62d2b75..a7cf803 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,13 +1,27 @@
-sudo: false
 language: python
+dist: xenial
+# require sudo to avoid Travis falling back to trusty; see
+# https://github.com/travis-ci/travis-ci/issues/10110 and also
+# https://github.com/travis-ci/travis-ci/issues/9069
+sudo: required
 
 python:
   - "2.7"
   - "3.4"
   - "3.5"
   - "3.6"
-  - "pypy"
-  - "pypy3"
+  - "3.7"
+
+# also test PyPy; do this on Trusty due to
+# https://travis-ci.community/t/pypy-2-7-on-xenial/889
+matrix:
+  include:
+    - python: "pypy"
+      dist: trusty
+      sudo: False
+    - python: "pypy3"
+      dist: trusty
+      sudo: False
 
 install:
   - git config --global user.email "bumpversion-test-git@travis.ci"
@@ -19,4 +33,3 @@ install:
   - pip install tox-travis
 
 script: tox
-
diff --git a/appveyor.yml b/appveyor.yml
index 2c89885..19653ef 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -20,6 +20,9 @@ environment:
     - PYTHON: "C:/Python36"
       TOXENV: "py36"
 
+    - PYTHON: "C:/Python37"
+      TOXENV: "py37"
+
 init:
   - "ECHO %TOXENV%"
   - "ECHO %PYTHON%"
diff --git a/setup.py b/setup.py
index 1c556c8..d5fab15 100644
--- a/setup.py
+++ b/setup.py
@@ -39,6 +39,7 @@
         'Programming Language :: Python :: 3.4',
         'Programming Language :: Python :: 3.5',
         'Programming Language :: Python :: 3.6',
+        'Programming Language :: Python :: 3.7',
         'Programming Language :: Python :: Implementation :: PyPy',
     ],
 )
diff --git a/tox.ini b/tox.ini
index b8870f3..a0ffcb3 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist = py27, py27-configparser, py34, py35, py36, pypy, pypy3
+envlist = py27, py27-configparser, py34, py35, py36, py37, pypy, pypy3
 
 [testenv]
 passenv = HOME