diff --git a/setup.py b/setup.py
index 0c2281400..c046684c0 100644
--- a/setup.py
+++ b/setup.py
@@ -24,7 +24,6 @@ install_requires = [
     'cssselect>=0.9.1',
     'itemloaders>=1.0.1',
     'parsel>=1.5.0',
-    'PyDispatcher>=2.0.5',
     'pyOpenSSL>=16.2.0',
     'queuelib>=1.4.2',
     'service_identity>=16.0.0',
@@ -38,6 +37,7 @@ extras_require = {}
 if has_environment_marker_platform_impl_support():
     extras_require[':platform_python_implementation == "CPython"'] = [
         'lxml>=3.5.0',
+        'PyDispatcher>=2.0.5',
     ]
     extras_require[':platform_python_implementation == "PyPy"'] = [
         # Earlier lxml versions are affected by
diff --git a/tox.ini b/tox.ini
index 4e6ca3ec9..d29cea0fc 100644
--- a/tox.ini
+++ b/tox.ini
@@ -72,7 +72,6 @@ deps =
     itemadapter==0.1.0
     parsel==1.5.0
     Protego==0.1.15
-    PyDispatcher==2.0.5
     #using pyOpenSSL<18.1 to solve dependencies conflict with mitmproxy on pip20.2>=
     pyOpenSSL==18.0.0
     queuelib==1.4.2
@@ -89,7 +88,12 @@ deps =
 [testenv:pinned]
 deps =
     {[pinned]deps}
-    lxml==3.5.0
+    PyDispatcher==2.0.5
+
+[testenv: pypy-pinned]
+deps = 
+    {[pinned]deps}
+    PyPyDispatcher==2.1.0
 
 [testenv:windows-pinned]
 basepython = python3
@@ -111,13 +115,16 @@ commands =
 
 [testenv:asyncio-pinned]
 commands = {[testenv:asyncio]commands}
-deps = {[testenv:pinned]deps}
+deps = 
+    {[testenv:pinned]deps}
+    lxml==3.5.0
 
 [testenv:pypy3]
 basepython = pypy3
 deps = 
     {[testenv]deps}
-    PyDispatcher==2.0.5
+    PyPyDispatcher>=2.1.0
+    lxml==4.0.0
 commands =
     py.test {posargs:--durations=10 docs scrapy tests}