diff --git a/README.md b/README.md
index 288df4621d..c42b0221f7 100644
--- a/README.md
+++ b/README.md
@@ -36,10 +36,12 @@ The following are the corresponding ``torchaudio`` versions and supported Python
 
 | ``torch``                | ``torchaudio``           | ``python``                      |
 | ------------------------ | ------------------------ | ------------------------------- |
-| ``master`` / ``nightly`` | ``master`` / ``nightly`` | ``>=3.6``                       |
-| ``1.7.0``                | ``0.7.0``                | ``>=3.6``                       |
-| ``1.6.0``                | ``0.6.0``                | ``>=3.6``                       |
-| ``1.5.0``                | ``0.5.0``                | ``>=3.5``                       |
+| ``master`` / ``nightly`` | ``master`` / ``nightly`` | ``>=3.6``, ``<=3.9``            |
+| ``1.8.0``                | ``0.8.0``                | ``>=3.6``, ``<=3.9``            |
+| ``1.7.1``                | ``0.7.2``                | ``>=3.6``, ``<=3.9``            |
+| ``1.7.0``                | ``0.7.0``                | ``>=3.6``, ``<=3.8``            |
+| ``1.6.0``                | ``0.6.0``                | ``>=3.6``, ``<=3.8``            |
+| ``1.5.0``                | ``0.5.0``                | ``>=3.5``, ``<=3.8``            |
 | ``1.4.0``                | ``0.4.0``                | ``==2.7``, ``>=3.5``, ``<=3.8`` |