diff --git a/setup.py b/setup.py
index f6de1bb6..5e9a850c 100644
--- a/setup.py
+++ b/setup.py
@@ -39,7 +39,7 @@ INSTALL_REQUIRES = []
 EXTRAS_REQUIRE = {
     "docs": ["sphinx", "zope.interface"],
     "tests": [
-        "coverage",
+        "coverage<5.0",
         "hypothesis",
         "pympler",
         "pytest>=4.3.0",  # 4.3.0 dropped last use of `convert`
diff --git a/tox.ini b/tox.ini
index 92ab01ef..ddb8f422 100644
--- a/tox.ini
+++ b/tox.ini
@@ -50,7 +50,7 @@ commands = coverage run --parallel -m pytest {posargs}
 [testenv:coverage-report]
 basepython = python3.7
 skip_install = true
-deps = coverage
+deps = coverage<5.0
 commands =
     coverage combine
     coverage report