diff --git a/requirements.txt b/requirements.txt
index ee665b6e3..c33735f4f 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -3,13 +3,8 @@
 brotli==1.0.7; platform_python_implementation != "PyPy"
 brotlipy==0.7.0; platform_python_implementation == "PyPy"
 unicodedata2==12.0.0; python_version < '3.8' and platform_python_implementation != "PyPy"
-scipy==1.2.1; platform_python_implementation != "PyPy" and python_version < '3.5'  # pyup: ignore
 scipy==1.3.0; platform_python_implementation != "PyPy" and python_version >= '3.5'
-munkres==1.0.12; platform_python_implementation == "PyPy" and python_version < '3.5'  # pyup: ignore
 munkres==1.1.2; platform_python_implementation == "PyPy" and python_version >= '3.5'
 zopfli==0.1.6
 fs==2.4.9
-# lxml 4.4.0 breaks OrderedDict attributes in python < 3.6 so we pin to previous version
-# https://bugs.launchpad.net/lxml/+bug/1838252
-lxml==4.3.5; python_version < '3.6'  # pyup: ignore
 lxml==4.4.0; python_version >= '3.6'
diff --git a/setup.py b/setup.py
index 22deb5820..d848f4e52 100755
--- a/setup.py
+++ b/setup.py
@@ -32,18 +32,11 @@ extras_require = {
 	# for fontTools.ufoLib: to read/write UFO fonts
 	"ufo": [
 		"fs >= 2.2.0, < 3",
-		"enum34 >= 1.1.6; python_version < '3.4'",
 	],
 	# for fontTools.misc.etree and fontTools.misc.plistlib: use lxml to
 	# read/write XML files (faster/safer than built-in ElementTree)
 	"lxml": [
 		"lxml >= 4.0, < 5",
-		"singledispatch >= 3.4.0.3; python_version < '3.4'",
-		# typing >= 3.6.4 is required when using ABC collections with the
-		# singledispatch backport, see:
-		# https://github.com/fonttools/fonttools/issues/1423
-		# https://github.com/python/typing/issues/484
-		"typing >= 3.6.4; python_version < '3.4'",
 	],
 	# for fontTools.sfnt and fontTools.woff2: to compress/uncompress
 	# WOFF 1.0 and WOFF 2.0 webfonts.