diff --git a/.travis.yml b/.travis.yml
index 622823d..0798265 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -6,7 +6,7 @@ python:
 - '3.5'
 - '3.6'
 - '3.7'
-- 3.8-dev
+- '3.8'
 install: pip install 'tox-travis ~= 0.12.0'
 script: tox
 deploy:
diff --git a/setup.py b/setup.py
index 4e54494..a617412 100644
--- a/setup.py
+++ b/setup.py
@@ -34,8 +34,8 @@ def read(fname):
         'pytest>=2.8,<4.7; python_version<"3.5"',
         'pytest>=2.8; python_version>="3.5"',
         'mypy>=0.570,<0.700; python_version<"3.5"',
-        'mypy>=0.570; python_version>="3.5" and python_version<"3.8.0b1"',
-        'mypy>=0.701; python_version>="3.8.0b1"',
+        'mypy>=0.570; python_version>="3.5" and python_version<"3.8"',
+        'mypy>=0.700; python_version>="3.8"',
     ],
     classifiers=[
         'Development Status :: 4 - Beta',
diff --git a/tox.ini b/tox.ini
index b90a2d0..20f5b4e 100644
--- a/tox.ini
+++ b/tox.ini
@@ -3,9 +3,11 @@
 min_version = 3.7.0
 isolated_build = true
 envlist =
-    py{34, 35, 36, 37}-pytest{2.8, 2.x, 3.0, 3.x, 4.0, 4.x}-mypy{0.570, 0.580, 0.590, 0.600, 0.610, 0.620, 0.630, 0.641, 0.650, 0.660, 0.670}
-    py{35, 36, 37}-pytest{2.8, 2.x, 3.0, 3.x, 4.0, 4.x, 5.0, 5.x}-mypy{0.700, 0.701, 0.710, 0.711}
-    py{38}-pytest{2.8, 2.x, 3.0, 3.x, 4.0, 4.x, 5.0, 5.x}-mypy{0.710, 0.711}
+    py34-pytest{2.8, 2.x, 3.0, 3.x, 4.0, 4.x}-mypy{0.57, 0.5x, 0.60, 0.6x}
+    py35-pytest{2.8, 2.x, 3.0, 3.x, 4.0, 4.x, 5.0, 5.x}-mypy{0.57, 0.5x, 0.60, 0.6x, 0.70, 0.7x}
+    py36-pytest{2.8, 2.x, 3.0, 3.x, 4.0, 4.x, 5.0, 5.x}-mypy{0.57, 0.5x, 0.60, 0.6x, 0.70, 0.7x}
+    py37-pytest{2.8, 2.x, 3.0, 3.x, 4.0, 4.x, 5.0, 5.x}-mypy{0.57, 0.5x, 0.60, 0.6x, 0.70, 0.7x}
+    py38-pytest{2.8, 2.x, 3.0, 3.x, 4.0, 4.x, 5.0, 5.x}-mypy{0.71, 0.7x}
     flake8
 
 [testenv]
@@ -37,21 +39,25 @@ deps =
     pytest4.x: pytest ~= 4.0
     pytest5.0: pytest ~= 5.0.0
     pytest5.x: pytest ~= 5.0
-    mypy0.570: mypy == 0.570
-    mypy0.580: mypy == 0.580
-    mypy0.590: mypy == 0.590
-    mypy0.600: mypy == 0.600
-    mypy0.610: mypy == 0.610
-    mypy0.620: mypy == 0.620
-    mypy0.630: mypy == 0.630
-    mypy0.641: mypy == 0.641
-    mypy0.650: mypy == 0.650
-    mypy0.660: mypy == 0.660
-    mypy0.670: mypy == 0.670
-    mypy0.700: mypy == 0.700
-    mypy0.701: mypy == 0.701
-    mypy0.710: mypy == 0.710
-    mypy0.711: mypy == 0.711
+    mypy0.57: mypy >= 0.570, < 0.580
+    mypy0.58: mypy >= 0.580, < 0.590
+    mypy0.59: mypy >= 0.590, < 0.600
+    mypy0.5x: mypy >= 0.500, < 0.600
+    mypy0.60: mypy >= 0.600, < 0.610
+    mypy0.61: mypy >= 0.610, < 0.620
+    mypy0.62: mypy >= 0.620, < 0.630
+    mypy0.63: mypy >= 0.630, < 0.640
+    mypy0.64: mypy >= 0.640, < 0.650
+    mypy0.65: mypy >= 0.650, < 0.660
+    mypy0.66: mypy >= 0.660, < 0.670
+    mypy0.67: mypy >= 0.670, < 0.680
+    mypy0.6x: mypy >= 0.600, < 0.700
+    mypy0.70: mypy >= 0.700, < 0.710
+    mypy0.71: mypy >= 0.710, < 0.720
+    mypy0.72: mypy >= 0.720, < 0.730
+    mypy0.73: mypy >= 0.730, < 0.740
+    mypy0.74: mypy >= 0.740, < 0.750
+    mypy0.7x: mypy >= 0.700, < 0.800
 
     pytest-cov ~= 2.5.1
     pytest-randomly ~= 2.1.1