diff --git a/tox.ini b/tox.ini
index 6fe4f8b1..be4fdc43 100644
--- a/tox.ini
+++ b/tox.ini
@@ -48,7 +48,7 @@ deps =
     {[default]deps}
 
     # In Python 2, we need to pull in typing, mock
-    py{26,27,py2}: typing==3.7.4.1
+    py{26,27,py2}: typing==3.7.4.3
     py{26,27,py2}: mock==3.0.5  # rq.filter: <4
 
     # For pytest
@@ -58,7 +58,7 @@ deps =
     # For code coverage
     {[testenv:coverage_report]deps}
     py{26,27,34,py2}: pytest-cov==2.8.1  # rq.filter: <2.9
-    py{35,36,37,38,39,py3}: pytest-cov==2.10.0
+    py{35,36,37,38,39,py3}: pytest-cov==2.10.1
 
     # For hypothesis. Note Python 3.4 isn't supported by hypothesis.
     py{26,27,py2}: hypothesis==4.43.9  # rq.filter: <4.44
@@ -89,7 +89,7 @@ basepython = {[default]basepython}
 skip_install = True
 
 deps =
-    black==19.10b0
+    black==20.8b1
 
 setenv =
     BLACK_LINT_ARGS=--check
@@ -125,7 +125,7 @@ deps =
     mccabe==0.6.1
     pep8-naming==0.11.1
     pycodestyle==2.6.0
-    pydocstyle==5.0.2
+    pydocstyle==5.1.0
     # pin pyflakes pending a release with https://github.com/PyCQA/pyflakes/pull/455
     git+git://github.com/PyCQA/pyflakes@ffe9386#egg=pyflakes
 
@@ -277,7 +277,7 @@ skip_install = True
 
 deps =
     {[testenv:coverage_report]deps}
-    codecov==2.1.7
+    codecov==2.1.9
 
 passenv =
     # See https://github.com/codecov/codecov-python/blob/master/README.md#using-tox
@@ -319,7 +319,7 @@ description = build documentation
 basepython = {[default]basepython}
 
 deps =
-    Sphinx==3.0.4
+    Sphinx==3.2.1
     sphinx-rtd-theme==0.5.0
 
 commands =
@@ -362,7 +362,7 @@ skip_install = True
 deps =
    check-manifest==0.42
    readme-renderer==26.0
-   twine==3.1.1
+   twine==3.2.0
 
 commands =
    check-manifest