diff --git a/Lib/fontTools/ttLib/woff2.py b/Lib/fontTools/ttLib/woff2.py
index 6be06be0a..02e273d2e 100644
--- a/Lib/fontTools/ttLib/woff2.py
+++ b/Lib/fontTools/ttLib/woff2.py
@@ -294,8 +294,9 @@ class WOFF2Writer(SFNTWriter):
         if self.sfntVersion == "OTTO":
             return
 
-        for tag in ("maxp", "head", "loca", "glyf"):
-            self._decompileTable(tag)
+        for tag in ("maxp", "head", "loca", "glyf", "fvar"):
+            if tag in self.tables:
+                self._decompileTable(tag)
         self.ttFont["glyf"].padding = padding
         for tag in ("glyf", "loca"):
             self._compileTable(tag)
diff --git a/Tests/ttLib/woff2_test.py b/Tests/ttLib/woff2_test.py
index cfc7b1bc3..0a89b8b43 100644
--- a/Tests/ttLib/woff2_test.py
+++ b/Tests/ttLib/woff2_test.py
@@ -1491,6 +1491,20 @@ class UShort255Test(unittest.TestCase):
         )
 
 
+class VarCompositeTest(unittest.TestCase):
+    def test_var_composite(self):
+        input_path = os.path.join(data_dir, "varc-ac00-ac01.ttf")
+        ttf = ttLib.TTFont(input_path)
+        ttf.flavor = "woff2"
+        out = BytesIO()
+        ttf.save(out)
+
+        ttf = ttLib.TTFont(out)
+        ttf.flavor = None
+        out = BytesIO()
+        ttf.save(out)
+
+
 if __name__ == "__main__":
     import sys