diff --git a/.travis.yml b/.travis.yml
index 764da2885e..0124368fd9 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -120,6 +120,18 @@ matrix:
                       - gcc-mingw-w64
           compiler: x86_64-w64-mingw32-gcc
           env: EXTENDED_TEST="yes" CONFIG_OPTS="no-pic"
+        - os: linux
+          language: python
+          python: 3.7
+          dist: xenial    # required for Python 3.7 (travis-ci/travis-ci#9069)
+          sudo: required  # required for Python 3.7 (travis-ci/travis-ci#9069)
+          install: pip install flake8
+          before_script:
+            # stop the build if there are Python syntax errors or undefined names
+            - flake8 . --count --select=E901,E999,F821,F822,F823 --show-source --statistics
+            # exit-zero treats all errors as warnings.  The GitHub editor is 127 chars wide
+            - flake8 . --count --exit-zero --max-complexity=10 --max-line-length=127 --statistics
+          script: true
     exclude:
         - os: linux
           compiler: clang