diff --git a/.ci/travis-install.sh b/.ci/travis-install.sh
index 626129a7..0938b591 100755
--- a/.ci/travis-install.sh
+++ b/.ci/travis-install.sh
@@ -3,9 +3,6 @@
 set -e -x
 
 if [ "${TRAVIS_OS_NAME}" == "osx" ]; then
-    # Travis xcode7.3 image is still using deprecated homebrew/versions
-    # https://docs.brew.sh/Versions
-    brew untap homebrew/versions
     brew update >/dev/null
     brew upgrade pyenv
     eval "$(pyenv init -)"
diff --git a/.travis.yml b/.travis.yml
index 56a8d432..f4053172 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -29,25 +29,25 @@ matrix:
 
     include:
         - os: osx
-          osx_image: xcode7.3
+          osx_image: xcode10.2
           # Travis macOS env does not support Python yet,
           # so we have to set things up manually in install.sh.
-          env: BUILD=tests,wheels PYTHON_VERSION=3.5.5
+          env: BUILD=tests,wheels PYTHON_VERSION=3.5.9
           branches: {only: [releases]}
 
         - os: osx
-          osx_image: xcode7.3
-          env: BUILD=tests,wheels PYTHON_VERSION=3.6.5
+          osx_image: xcode10.2
+          env: BUILD=tests,wheels PYTHON_VERSION=3.6.10
           branches: {only: [releases]}
 
         - os: osx
-          osx_image: xcode7.3
-          env: BUILD=tests,wheels PYTHON_VERSION=3.7.0
+          osx_image: xcode10.2
+          env: BUILD=tests,wheels PYTHON_VERSION=3.7.7
           branches: {only: [releases]}
 
         - os: osx
-          osx_image: xcode7.3
-          env: BUILD=tests,wheels PYTHON_VERSION=3.8.0
+          osx_image: xcode10.2
+          env: BUILD=tests,wheels PYTHON_VERSION=3.8.3
           branches: {only: [releases]}
 
         - os: linux