diff --git a/dev_requirements.txt b/dev_requirements.txt
--- a/dev_requirements.txt
+++ b/dev_requirements.txt
@@ -1,9 +1,9 @@
-pytest >= 4.6.6, < 5.4
+pytest >= 4.6.6, < 5.5
 pytest-sugar >= 0.9.2, < 0.10
 pytest-benchmark >= 3.2.2, < 3.3
 pytest-localserver >= 0.5.0, < 0.6
 mock >= 3.0.0, < 4.1
-Sphinx >= 1.8.0, < 2.4
+Sphinx >= 1.8.0, < 3.1
 WebTest >= 2.0.6, < 2.1
 isort == 4.3.21
-pyflakes == 2.1.1
+pyflakes == 2.2.0
diff --git a/setup.py b/setup.py
--- a/setup.py
+++ b/setup.py
@@ -53,7 +53,7 @@ requirements = [
     "FormEncode >= 1.3.1, < 1.4",
     "SQLAlchemy >= 1.2.9, < 1.4",
     "Mako >= 0.9.1, < 1.2",
-    "Pygments >= 2.2.0, < 2.6",
+    "Pygments >= 2.2.0, < 2.7",
     "Whoosh >= 2.7.1, < 2.8",
     "celery >= 4.3, < 4.5, != 4.4.4", # 4.4.4 is broken due to unexpressed dependency on 'future', see https://github.com/celery/celery/pull/6146
     "Babel >= 1.3, < 2.9",
@@ -65,7 +65,7 @@ requirements = [
     "dulwich >= 0.19.0, < 0.20",
     "mercurial >= 5.2, < 5.5",
     "decorator >= 4.2.1, < 4.5",
-    "Paste >= 2.0.3, < 3.4",
+    "Paste >= 2.0.3, < 3.5",
     "bleach >= 3.0, < 3.1.4",
     "Click >= 7.0, < 8",
     "ipaddr >= 2.2.0, < 2.3",