diff --git a/.travis.yml b/.travis.yml
index 37d8da8..f19df04 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -17,20 +17,8 @@ matrix:
       env: DJANGO=master
     - python: 3.7
       env: DJANGO=master
-    - python: 3.8-dev
-      env: DJANGO=1.11
-    - python: 3.8-dev
-      env: DJANGO=2.1
-    - python: 3.8-dev
-      env: DJANGO=2.2
     - python: 3.8-dev
       env: DJANGO=master
-    - python: pypy3
-      env: DJANGO=1.11
-    - python: pypy3
-      env: DJANGO=2.1
-    - python: pypy3
-      env: DJANGO=2.2
     - python: pypy3
       env: DJANGO=master
   fast_finish: true
diff --git a/requirements.txt b/requirements.txt
index 580586c..403ac2b 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,7 +1,7 @@
 -e .
 coverage==4.5.4
-mypy==0.720
-prospector==1.1.6.2
+mypy==0.720                 ; python_version < '3.8' and python_implementation != 'PyPy'
+prospector==1.1.6.2         ; python_version < '3.8' and python_implementation != 'PyPy'
 pytest==5.1.1
 pytest-cov==2.7.1
 pytest-django==3.5.1
diff --git a/tox.ini b/tox.ini
index 556b582..da4cdcc 100644
--- a/tox.ini
+++ b/tox.ini
@@ -26,7 +26,7 @@ deps =
 usedevelop = True
 commands =
     pytest
-    prospector
-    mypy axes
+    {py36,py37}: prospector
+    {py36,py37}: mypy axes
 setenv =
     PYTHONDONTWRITEBYTECODE=1