diff --git a/.travis.yml b/.travis.yml
index 59609ea..cfcf6d6 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -7,11 +7,6 @@ jobs:
     - language: objective-c
       os: osx
       osx_image: xcode9.2
-      addons:
-        homebrew:
-          packages:
-          - python
-          update: true
     - language: minimal
       dist: xenial
       os: linux
diff --git a/travis/macos-install.sh b/travis/macos-install.sh
index f7b55ac..8d358c4 100755
--- a/travis/macos-install.sh
+++ b/travis/macos-install.sh
@@ -2,6 +2,15 @@
 
 set -ex
 
+export HOMEBREW_NO_INSTALL_CLEANUP=1
+brew update
+
+# An error occurs when upgrading Python, but appears to be benign, hence the "|| true"
+#
+# Error: undefined method `any?' for nil:NilClass
+# /usr/local/Homebrew/Library/Homebrew/cmd/upgrade.rb:227:in `depends_on'
+brew upgrade python || true
+
 which python3
 python3 --version
 which pip3