diff --git a/.travis.yml b/.travis.yml
index e14560bd..32d523de 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,26 +1,25 @@
 language: python
+sudo: false
+cache: false
 python:
-    - 2.7
-    - 3.3
-    - 3.4
-    - pypy
-    - pypy3
-before_install:
-    - |
-      deactivate
-      if python --version |& grep PyPy; then
-        sudo apt-add-repository --yes ppa:pypy/ppa
-        sudo apt-get update
-        sudo apt-get install pypy
-        source ~/virtualenv/pypy/bin/activate
-      fi
-      python --version
-      uname -a
-      lsb_release -a
-      sudo pip install tox
-script: tox -v -e $TRAVIS_PYTHON_VERSION -- -v
+    - '3.5'
+env:
+  global:
+    PYTHONUNBUFFERED=yes
+  matrix:
+    - TOXENV=2.7
+    - TOXENV=3.4
+    - TOXENV=3.5
+    - TOXENV=pypy
+    - TOXENV=pypy3
+    - TOXENV=flake8
+    - TOXENV=flakeplus
+    - TOXENV=apicheck
+install: travis_retry pip install -U tox
+script: tox -v -- -v
 after_success:
-    - .tox/$TRAVIS_PYTHON_VERSION/bin/coveralls
+  - .tox/$TRAVIS_PYTHON_VERSION/bin/coverage xml
+  - .tox/$TRAVIS_PYTHON_VERSION/bin/codecov -e TOXENV
 notifications:
   irc:
     channels:
diff --git a/README.rst b/README.rst
index b892801c..be38d85c 100644
--- a/README.rst
+++ b/README.rst
@@ -348,5 +348,3 @@ file in the top distribution directory for the full license text.
 
 .. |build-status| image:: https://travis-ci.org/celery/kombu.svg?branch=master
    :target: https://travis-ci.org/celery/kombu
-.. |coverage-status| image:: https://coveralls.io/repos/celery/kombu/badge.svg
-   :target: https://coveralls.io/r/celery/kombu
diff --git a/requirements/test-ci.txt b/requirements/test-ci.txt
index 07b0da1b..07575214 100644
--- a/requirements/test-ci.txt
+++ b/requirements/test-ci.txt
@@ -1,5 +1,5 @@
 coverage>=3.0
-coveralls
+codecov
 redis
 PyYAML
 msgpack-python>0.2.0  # 0.2.0 dropped 2.5 support
diff --git a/requirements/test-ci3.txt b/requirements/test-ci3.txt
index c5617bb8..5adbd6c0 100644
--- a/requirements/test-ci3.txt
+++ b/requirements/test-ci3.txt
@@ -1,5 +1,5 @@
 coverage>=3.0
-coveralls
+codecov
 redis
 PyYAML
 msgpack-python>0.2.0  # 0.2.0 dropped 2.5 support