diff --git a/setup.py b/setup.py
index 33232998716e632c5de9ac609f372aa5883e9702..19cafc438c0bc3d159a6deb36ae795f703d1b31f 100755
--- a/setup.py
+++ b/setup.py
@@ -27,24 +27,24 @@ README = open(os.path.join(os.path.dirname(__file__), 'README.rst')).read()
 python_requirements = ">=3.5,<3.8"
 
 install_requirements = [
-    'cryptography>=2.4,<2.5',
-    'python-dateutil>=2.7,<2.8',
+    'cryptography>=2.9,<2.10',
+    'python-dateutil>=2.8,<2.9',
 ]
 
 doc_requirements = [
-    'sphinx>=1.8,<1.9',
+    'sphinx>=3.0,<3.1',
 ]
 
 test_lint_requirements = [
-    'flake8>=3.6,<3.7',
+    'flake8>=3.8,<3.9',
 ]
 
 test_requirements = [
     'freezegun>=0.3,<0.4',
-    'pytest>=4.0,<4.1',
-    'pytest-cov>=2.6,<2.7',
-    'tox>=3.5,<3.6',
-    'pexpect>=4.6,<4.7',
+    'pytest>=5.4,<5.5',
+    'pytest-cov>=2.8,<2.9',
+    'tox>=3.15,<3.16',
+    'pexpect>=4.8,<4.9',
 ]
 
 release_requirements = [
@@ -52,7 +52,7 @@ release_requirements = [
 ]
 
 setup_requirements = [
-    'pytest-runner>=4.2,<4.3',
+    'pytest-runner>=5.2,<5.3',
 ]
 
 development_requirements = doc_requirements + test_requirements + test_lint_requirements + release_requirements