diff --git a/docs/news.rst b/docs/news.rst
index f714ca8fa..fbceb8126 100644
--- a/docs/news.rst
+++ b/docs/news.rst
@@ -21,6 +21,8 @@ Scrapy 2.6.3 (to be determined)
 
     -   Twisted_: 17.9.0 → 18.9.0
 
+    -   zope.interface_: 4.1.3 → 4.4.2
+
     (:issue:`5621`, :issue:`5632`)
 
 
diff --git a/setup.py b/setup.py
index aa064c508..421cd6b9e 100644
--- a/setup.py
+++ b/setup.py
@@ -28,7 +28,7 @@ install_requires = [
     'queuelib>=1.4.2',
     'service_identity>=18.1.0',
     'w3lib>=1.17.0',
-    'zope.interface>=4.1.3',
+    'zope.interface>=4.4.2',
     'protego>=0.1.15',
     'itemadapter>=0.1.0',
     'setuptools',
diff --git a/tox.ini b/tox.ini
index 21ed90b5f..0d9d7987e 100644
--- a/tox.ini
+++ b/tox.ini
@@ -86,7 +86,7 @@ deps =
     service_identity==18.1.0
     Twisted[http2]==18.9.0
     w3lib==1.17.0
-    zope.interface==4.1.3
+    zope.interface==4.4.2
     -rtests/requirements.txt
 
     # mitmproxy 4.0.4+ requires upgrading some of the pinned dependencies
@@ -102,6 +102,7 @@ install_command =
     pip install -U {opts} {packages}
 
 [testenv:pinned]
+basepython = python3.6
 deps =
     {[pinned]deps}
     lxml==3.5.0
@@ -111,7 +112,7 @@ setenv =
     {[pinned]setenv}
 
 [testenv:windows-pinned]
-basepython = python3
+basepython = python3.6
 deps =
     {[pinned]deps}
     # First lxml version that includes a Windows wheel for Python 3.6, so we do
@@ -139,6 +140,7 @@ commands =
     {[testenv]commands} --reactor=asyncio
 
 [testenv:asyncio-pinned]
+basepython = python3.6
 deps = {[testenv:pinned]deps}
 commands = {[testenv:asyncio]commands}
 install_command = {[pinned]install_command}