diff --git a/.travis.yml b/.travis.yml
index 06e840d..9b444f5 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -6,12 +6,13 @@ cache: pip
 matrix:
   fast_finish: true
   include:
+    - python: 3.8
     - python: 3.7
-      dist: xenial
     - python: 3.6
     - python: 3.5
-    - python: 3.4
     - python: 2.7
+    - python: pypy
+    - python: pypy3
 
 install:
  - pip install -U pip
diff --git a/setup.py b/setup.py
index 5c648da..fe976f5 100644
--- a/setup.py
+++ b/setup.py
@@ -19,7 +19,7 @@
 	url="https://github.com/cpburnz/python-path-specification",
 	description="Utility library for gitignore style pattern matching of file paths.",
 	long_description=readme + "\n\n" + changes,
-	python_requires='>=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*',
+	python_requires='>=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*',
 	classifiers=[
 		"Development Status :: 4 - Beta",
 		"Intended Audience :: Developers",
@@ -29,10 +29,10 @@
 		"Programming Language :: Python :: 2",
 		"Programming Language :: Python :: 2.7",
 		"Programming Language :: Python :: 3",
-		"Programming Language :: Python :: 3.4",
 		"Programming Language :: Python :: 3.5",
 		"Programming Language :: Python :: 3.6",
 		"Programming Language :: Python :: 3.7",
+                "Programming Language :: Python :: 3.8",
 		"Programming Language :: Python :: Implementation :: CPython",
 		"Programming Language :: Python :: Implementation :: PyPy",
 		"Topic :: Software Development :: Libraries :: Python Modules",
diff --git a/tox.ini b/tox.ini
index c45a7d5..81f351d 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist = py27, py34, py35, py36, py37, pypy, pypy3
+envlist = py{27,35,36,37,38,py,py3}
 
 [testenv]
 commands = python setup.py test