diff --git a/.travis.yml b/.travis.yml
index 2cdeee5b8..f1ec689f7 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,6 +1,6 @@
 language: python
 cache: pip
-dist: xenial
+dist: bionic
 matrix:
     fast_finish: true
     include:
diff --git a/requirements/requirements-codestyle.txt b/requirements/requirements-codestyle.txt
index 482deac66..d9efde1d0 100644
--- a/requirements/requirements-codestyle.txt
+++ b/requirements/requirements-codestyle.txt
@@ -1,6 +1,6 @@
 # PEP8 code linting, which we run on all commits.
-flake8==3.7.8
-flake8-tidy-imports==3.0.0
+flake8==3.7.9
+flake8-tidy-imports==4.1.0
 pycodestyle==2.5.0
 
 # Sort and lint imports
diff --git a/requirements/requirements-documentation.txt b/requirements/requirements-documentation.txt
index 73158043e..e969ff471 100644
--- a/requirements/requirements-documentation.txt
+++ b/requirements/requirements-documentation.txt
@@ -1,2 +1,2 @@
 # MkDocs to build our documentation.
-mkdocs==1.0.4
+mkdocs==1.1
diff --git a/requirements/requirements-optionals.txt b/requirements/requirements-optionals.txt
index 14957a531..2b7a18a13 100644
--- a/requirements/requirements-optionals.txt
+++ b/requirements/requirements-optionals.txt
@@ -1,8 +1,8 @@
 # Optional packages which may be used with REST framework.
-psycopg2-binary>=2.8.2, <2.9
+psycopg2-binary>=2.8.5, <2.9
 markdown==3.1.1
 pygments==2.4.2
-django-guardian==2.1.0
+django-guardian==2.2.0
 django-filter>=2.2.0, <2.3
 coreapi==2.3.1
 coreschema==0.0.4
diff --git a/requirements/requirements-packaging.txt b/requirements/requirements-packaging.txt
index 48de9e768..091622fbe 100644
--- a/requirements/requirements-packaging.txt
+++ b/requirements/requirements-packaging.txt
@@ -1,8 +1,8 @@
 # Wheel for PyPI installs.
-wheel==0.30.0
+wheel==0.34.2
 
 # Twine for secured PyPI uploads.
-twine==1.11.0
+twine==3.1.1
 
 # Transifex client for managing translation resources.
-transifex-client==0.11
+transifex-client==0.13.9
diff --git a/requirements/requirements-testing.txt b/requirements/requirements-testing.txt
index 83ec9ab9e..ad246e857 100644
--- a/requirements/requirements-testing.txt
+++ b/requirements/requirements-testing.txt
@@ -1,4 +1,4 @@
 # Pytest for running the tests.
-pytest>=5.0,<5.1
-pytest-django>=3.5.1,<3.6
+pytest>=5.4.1,<5.5
+pytest-django>=3.9.0,<3.10
 pytest-cov>=2.7.1