diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 817d824..799f52f 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -6,19 +6,7 @@ jobs:
     runs-on: ubuntu-latest
     strategy:
       matrix:
-        include:
-        - python-version: 2.7
-          env:
-            TOXENV: py
-        - python-version: 3.5
-          env:
-            TOXENV: py
-        - python-version: 3.6
-          env:
-            TOXENV: py
-        - python-version: 3.7
-          env:
-            TOXENV: py
+        python-version: [3.6, 3.7, 3.8, 3.9]
 
     steps:
     - uses: actions/checkout@v2
@@ -29,10 +17,10 @@ jobs:
         python-version: ${{ matrix.python-version }}
 
     - name: Run tests
-      env: ${{ matrix.env }}
       run: |
+        pip install -U pip
         pip install -U tox
-        tox
+        tox -e py
 
     - name: Upload coverage report
-      run: bash <(curl -s https://codecov.io/bash)
\ No newline at end of file
+      run: bash <(curl -s https://codecov.io/bash)
diff --git a/.gitignore b/.gitignore
index b0ab86a..c276bd1 100644
--- a/.gitignore
+++ b/.gitignore
@@ -5,4 +5,6 @@
 /dist
 /docs/_build
 /.coverage
-.idea
\ No newline at end of file
+.idea
+htmlcov/
+coverage.xml
diff --git a/README.rst b/README.rst
index c6d387f..dfeedae 100644
--- a/README.rst
+++ b/README.rst
@@ -33,7 +33,7 @@ extracted as a stand-alone project.
 Quick facts:
 
 * Free software: BSD licensed
-* Compatible with Python 2.7 and 3.4+
+* Compatible with Python 3.6+
 * Latest documentation `on Read the Docs <https://cssselect.readthedocs.io/>`_
 * Source, issues and pull requests `on GitHub
   <https://github.com/scrapy/cssselect>`_
diff --git a/setup.py b/setup.py
index 3782534..bddda2e 100644
--- a/setup.py
+++ b/setup.py
@@ -31,18 +31,16 @@
     url="https://github.com/scrapy/cssselect",
     license="BSD",
     packages=["cssselect"],
-    python_requires=">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*",
+    python_requires=">=3.6",
     classifiers=[
         "Development Status :: 4 - Beta",
         "Intended Audience :: Developers",
         "License :: OSI Approved :: BSD License",
-        "Programming Language :: Python :: 2",
-        "Programming Language :: Python :: 2.7",
         "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 :: 3.9",
     ],
-    **extra_kwargs
+    **extra_kwargs,
 )
diff --git a/tests/requirements.txt b/tests/requirements.txt
deleted file mode 100644
index 000d5f2..0000000
--- a/tests/requirements.txt
+++ /dev/null
@@ -1,5 +0,0 @@
-codecov
-lxml;python_version!="3.4"
-lxml<=4.3.5;python_version=="3.4"
-pytest >=4.6, <4.7  # 4.7 drops support for Python 2.7 and 3.4
-pytest-cov
\ No newline at end of file
diff --git a/tox.ini b/tox.ini
index 8cbafdf..a9d39b8 100644
--- a/tox.ini
+++ b/tox.ini
@@ -2,11 +2,14 @@
 envlist = black,flake8,security,py
 
 [testenv]
-basepython = python3
-deps=
-    -r tests/requirements.txt
+deps =
+    lxml>=4.4
+    pytest-cov>=2.8
+    pytest>=5.4
 commands =
-    py.test --cov-report term --cov=cssselect
+    pytest --cov=cssselect \
+        --cov-report=term-missing --cov-report=html --cov-report=xml \
+        --verbose {posargs: cssselect tests}
 
 [testenv:black]
 deps =