diff --git a/Library/Homebrew/dev-cmd/tap-new.rb b/Library/Homebrew/dev-cmd/tap-new.rb
index e227fee242a79..7c5b0ad4e2de4 100644
--- a/Library/Homebrew/dev-cmd/tap-new.rb
+++ b/Library/Homebrew/dev-cmd/tap-new.rb
@@ -51,30 +51,23 @@ def tap_new
     MARKDOWN
     write_path(tap, "README.md", readme)
 
-    travis = <<~YAML
-      language: c
-      os: osx
-      compiler: clang
-      osx_image: xcode9.2
-      cache:
-        directories:
-          - #{Homebrew::DEFAULT_PREFIX}/Homebrew/Library/Homebrew/vendor/bundle
-      branches:
-        only:
-          - master
-
-      before_install:
-        - sudo chown -R "$USER" "$(brew --repo)"
-        - travis_retry brew update
-        - HOMEBREW_TAP_DIR="$(brew --repo "$TRAVIS_REPO_SLUG")"
-        - mkdir -p "$HOMEBREW_TAP_DIR"
-        - rm -rf "$HOMEBREW_TAP_DIR"
-        - ln -s "$PWD" "$HOMEBREW_TAP_DIR"
-
-      script:
-        - brew test-bot
+    azure = <<~YAML
+      jobs:
+      - job: macOS
+        pool:
+          vmImage: xcode9-macos10.13
+        steps:
+          - bash: |
+              sudo xcode-select --switch /Applications/Xcode_10.app/Contents/Developer
+              brew update
+              HOMEBREW_TAP_DIR="/usr/local/Homebrew/Library/Taps/#{tap}"
+              mkdir -p "$HOMEBREW_TAP_DIR"
+              rm -rf "$HOMEBREW_TAP_DIR"
+              ln -s "$PWD" "$HOMEBREW_TAP_DIR"
+              brew test-bot
+            displayName: Run brew test-bot
     YAML
-    write_path(tap, ".travis.yml", travis)
+    write_path(tap, "azure-pipelines.yml", azure)
   end
 
   def write_path(tap, filename, content)
diff --git a/Library/Homebrew/extend/os/mac/diagnostic.rb b/Library/Homebrew/extend/os/mac/diagnostic.rb
index 245357e6e654d..0af10f96989c1 100644
--- a/Library/Homebrew/extend/os/mac/diagnostic.rb
+++ b/Library/Homebrew/extend/os/mac/diagnostic.rb
@@ -74,7 +74,7 @@ def check_xcode_up_to_date
         # `brew test-bot` runs `brew doctor` in the CI for the Homebrew/brew
         # repository. This only needs to support whatever CI providers
         # Homebrew/brew is currently using.
-        return if ENV["HOMEBREW_TRAVIS_CI"] || ENV["HOMEBREW_AZURE_PIPELINES"]
+        return if ENV["HOMEBREW_AZURE_PIPELINES"]
 
         message = <<~EOS
           Your Xcode (#{MacOS::Xcode.version}) is outdated.
@@ -101,7 +101,7 @@ def check_clt_up_to_date
         # `brew test-bot` runs `brew doctor` in the CI for the Homebrew/brew
         # repository. This only needs to support whatever CI providers
         # Homebrew/brew is currently using.
-        return if ENV["HOMEBREW_TRAVIS_CI"] || ENV["HOMEBREW_AZURE_PIPELINES"]
+        return if ENV["HOMEBREW_AZURE_PIPELINES"]
 
         <<~EOS
           A newer Command Line Tools release is available.
diff --git a/Library/Homebrew/formula_installer.rb b/Library/Homebrew/formula_installer.rb
index 912a06989a746..a1d5a6aac7ed8 100644
--- a/Library/Homebrew/formula_installer.rb
+++ b/Library/Homebrew/formula_installer.rb
@@ -741,10 +741,6 @@ def build
     ].concat(build_argv)
 
     Utils.safe_fork do
-      # Invalidate the current sudo timestamp in case a build script calls sudo.
-      # Travis CI's Linux sudoless workers have a weird sudo that fails here.
-      system "/usr/bin/sudo", "-k" if ENV["HOMEBREW_TRAVIS_SUDO"] != "false"
-
       if Sandbox.formula?(formula)
         sandbox = Sandbox.new
         formula.logs.mkpath
diff --git a/Library/Homebrew/test/spec_helper.rb b/Library/Homebrew/test/spec_helper.rb
index 7a96b20c9acf1..802e2c4f22e21 100644
--- a/Library/Homebrew/test/spec_helper.rb
+++ b/Library/Homebrew/test/spec_helper.rb
@@ -2,7 +2,7 @@
   require "simplecov"
 
   formatters = [SimpleCov::Formatter::HTMLFormatter]
-  if ENV["HOMEBREW_COVERALLS_REPO_TOKEN"] || ENV["HOMEBREW_TRAVIS_CI"]
+  if ENV["HOMEBREW_COVERALLS_REPO_TOKEN"]
     require "coveralls"
 
     if !ENV["HOMEBREW_COLOR"] && (ENV["HOMEBREW_NO_COLOR"] || !$stdout.tty?)
diff --git a/Library/Homebrew/utils/curl.rb b/Library/Homebrew/utils/curl.rb
index 7bb77a3951945..8c68a4ac3825e 100644
--- a/Library/Homebrew/utils/curl.rb
+++ b/Library/Homebrew/utils/curl.rb
@@ -32,7 +32,7 @@ def curl_args(*extra_args, show_output: false, user_agent: :default)
     args << "--fail"
     args << "--progress-bar" unless ARGV.verbose?
     args << "--verbose" if ENV["HOMEBREW_CURL_VERBOSE"]
-    args << "--silent" if !$stdout.tty? || ENV["HOMEBREW_TRAVIS_CI"]
+    args << "--silent" unless $stdout.tty?
   end
 
   args + extra_args
diff --git a/bin/brew b/bin/brew
index d554640776de8..0c0b2f61c0fa4 100755
--- a/bin/brew
+++ b/bin/brew
@@ -72,7 +72,7 @@ then
 
   FILTERED_ENV=()
   # Filter all but the specific variables.
-  for VAR in HOME SHELL PATH TERM TERMINFO COLUMNS LOGNAME USER CI TRAVIS SSH_AUTH_SOCK SUDO_ASKPASS \
+  for VAR in HOME SHELL PATH TERM TERMINFO COLUMNS LOGNAME USER CI SSH_AUTH_SOCK SUDO_ASKPASS \
              http_proxy https_proxy ftp_proxy no_proxy all_proxy HTTPS_PROXY FTP_PROXY ALL_PROXY \
              "${!HOMEBREW_@}" "${!TRAVIS_@}"
   do