diff --git a/Lib/fontTools/ttLib/sfnt.py b/Lib/fontTools/ttLib/sfnt.py
index 9be149e40..9c45305d5 100644
--- a/Lib/fontTools/ttLib/sfnt.py
+++ b/Lib/fontTools/ttLib/sfnt.py
@@ -553,8 +553,7 @@ class WOFFFlavorData():
 				reader.file.seek(reader.metaOffset)
 				rawData = reader.file.read(reader.metaLength)
 				assert len(rawData) == reader.metaLength
-				import zlib
-				data = zlib.decompress(rawData)
+				data = self._decompress(rawData)
 				assert len(data) == reader.metaOrigLength
 				self.metaData = data
 			if reader.privLength:
@@ -563,6 +562,10 @@ class WOFFFlavorData():
 				assert len(data) == reader.privLength
 				self.privData = data
 
+	def _decompress(self, rawData):
+		import zlib
+		return zlib.decompress(rawData)
+
 
 def calcChecksum(data):
 	"""Calculate the checksum for an arbitrary block of data.
diff --git a/Lib/fontTools/ttLib/woff2.py b/Lib/fontTools/ttLib/woff2.py
index 849bf0ff7..07d1f95e5 100644
--- a/Lib/fontTools/ttLib/woff2.py
+++ b/Lib/fontTools/ttLib/woff2.py
@@ -1168,26 +1168,8 @@ class WOFF2FlavorData(WOFFFlavorData):
 				raise ValueError(
 					"'glyf' and 'loca' must be transformed (or not) together"
 				)
-
-		self.majorVersion = None
-		self.minorVersion = None
-		self.metaData = None
-		self.privData = None
+		super(WOFF2FlavorData, self).__init__(reader=reader)
 		if reader:
-			self.majorVersion = reader.majorVersion
-			self.minorVersion = reader.minorVersion
-			if reader.metaLength:
-				reader.file.seek(reader.metaOffset)
-				rawData = reader.file.read(reader.metaLength)
-				assert len(rawData) == reader.metaLength
-				metaData = brotli.decompress(rawData)
-				assert len(metaData) == reader.metaOrigLength
-				self.metaData = metaData
-			if reader.privLength:
-				reader.file.seek(reader.privOffset)
-				privData = reader.file.read(reader.privLength)
-				assert len(privData) == reader.privLength
-				self.privData = privData
 			transformedTables = [
 				tag
 				for tag, entry in reader.tables.items()
@@ -1206,6 +1188,9 @@ class WOFF2FlavorData(WOFFFlavorData):
 
 		self.transformedTables = set(transformedTables)
 
+	def _decompress(self, rawData):
+		return brotli.decompress(rawData)
+
 
 def unpackBase128(data):
 	r""" Read one to five bytes from UIntBase128-encoded input string, and return