diff --git a/README.md b/README.md
index 732e53971..ad3cadc2c 100644
--- a/README.md
+++ b/README.md
@@ -113,10 +113,15 @@ For more information on upgrading, see [UPGRADING.md](./UPGRADING.md).
 
 ### Supported Versions
 
-Because we are a small core team, we only ship patch updates, including security
-updates, to the most recent minor release and the second-most recent minor
-release. Consequently, we strongly recommend keeping Tendermint up-to-date.
-Upgrading instructions can be found in [UPGRADING.md](./UPGRADING.md).
+Because we are a small core team, we have limited capacity to ship patch
+updates, including security updates. Consequently, we strongly recommend keeping
+Tendermint up-to-date. Upgrading instructions can be found in
+[UPGRADING.md](./UPGRADING.md).
+
+Currently supported versions include:
+
+- v0.34.x
+- v0.37.x (release candidate)
 
 ## Resources