diff --git a/.travis.yml b/.travis.yml
index e625b28..f1ca201 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -24,22 +24,8 @@ jobs:
     - env: DJANGO=master
 
   include:
-
-    - python: 3.5
-      env: DJANGO=1.11
-    - python: 3.5
-      env: DJANGO=2.0
-    - python: 3.5
-      env: DJANGO=2.1
-    - python: 3.5
-      env: DJANGO=2.2
-
     - python: 3.6
       env: DJANGO=1.11
-    - python: 3.6
-      env: DJANGO=2.0
-    - python: 3.6
-      env: DJANGO=2.1
     - python: 3.6
       env: DJANGO=2.2
     - python: 3.6
@@ -49,10 +35,6 @@ jobs:
 
     - python: 3.7
       env: DJANGO=1.11
-    - python: 3.7
-      env: DJANGO=2.0
-    - python: 3.7
-      env: DJANGO=2.1
     - python: 3.7
       env: DJANGO=2.2
     - python: 3.7
@@ -60,12 +42,21 @@ jobs:
     - python: 3.7
       env: DJANGO=master
 
-    - python: 3.7
+    - python: 3.8
+      env: DJANGO=1.11
+    - python: 3.8
+      env: DJANGO=2.2
+    - python: 3.8
+      env: DJANGO=3.0
+    - python: 3.8
+      env: DJANGO=master
+
+    - python: 3.8
       env: TOXENV=black,flake8
 
     - stage: deploy
       script: skip
-      python: 3.7
+      python: 3.8
       after_success: true
       deploy:
         provider: pypi
diff --git a/setup.py b/setup.py
index 7c74a06..36882d2 100644
--- a/setup.py
+++ b/setup.py
@@ -44,9 +44,9 @@ setup(
         "Intended Audience :: Developers",
         "Topic :: Software Development :: Libraries",
         "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 :: PyPy",
     ],
     keywords="api graphql protocol rest relay graphene",
@@ -54,7 +54,7 @@ setup(
     install_requires=[
         "graphene>=2.1.7,<3",
         "graphql-core>=2.1.0,<3",
-        "Django>=1.11",
+        "Django>=1.11,!=2.0.*,!=2.1.*",
         "singledispatch>=3.4.0.3",
         "promise>=2.1",
     ],
diff --git a/tox.ini b/tox.ini
index 616e868..9354bdb 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,7 +1,6 @@
 [tox]
 envlist =
-    py{35,36,37}-django{111,master},
-    py{36,37}-django30,
+    py{36,37,38}-django{111,django22,django30,master},
     black,flake8
 
 [travis:env]
@@ -18,7 +17,7 @@ setenv =
     DJANGO_SETTINGS_MODULE=django_test_settings
 deps =
     -e.[test]
-    psycopg2
+    psycopg2-binary
     django111: Django>=1.11,<2.0
     django22: Django>=2.2,<3.0
     django30: Django>=3.0a1,<3.1
@@ -26,13 +25,13 @@ deps =
 commands = {posargs:py.test --cov=graphene_django graphene_django examples}
 
 [testenv:black]
-basepython = python3.7
+basepython = python3.8
 deps = -e.[dev]
 commands  =
     black --exclude "/migrations/" graphene_django examples setup.py --check
 
 [testenv:flake8]
-basepython = python3.7
+basepython = python3.8
 deps = -e.[dev]
 commands =
     flake8 graphene_django examples