diff --git a/tox.ini b/tox.ini
index b4a87cc..94fb290 100644
--- a/tox.ini
+++ b/tox.ini
@@ -76,6 +76,8 @@ deps =
     mypy0.74: mypy >= 0.740, < 0.750
     mypy0.75: mypy >= 0.750, < 0.760
     mypy0.76: mypy >= 0.760, < 0.770
+    mypy0.77: mypy >= 0.770, < 0.780
+    mypy0.78: mypy >= 0.780, < 0.790
     mypy0.7x: mypy >= 0.700, < 0.800
 
     pytest-cov ~= 2.5.1
@@ -86,7 +88,7 @@ commands = py.test -p no:mypy --cov pytest_mypy --cov-fail-under 100 --cov-repor
 deps =
     bandit ~= 1.6.2
     flake8 ~= 3.7.9
-    mypy >= 0.760, < 0.770
+    mypy >= 0.780, < 0.790
 commands =
     bandit --recursive src
     flake8 setup.py src tests