diff --git a/README.md b/README.md
index 5cef15bc0b1ef1d7178a93c84af04e8639efbbff..76fe4efc503a828e52275116892d140889db59ac 100644
--- a/README.md
+++ b/README.md
@@ -94,10 +94,13 @@ The following versions are supported and work as we test against these versions
 | kube-prometheus stack | Kubernetes 1.14 | Kubernetes 1.15 | Kubernetes 1.16 | Kubernetes 1.17 | Kubernetes 1.18 |
 |-----------------------|-----------------|-----------------|-----------------|-----------------|-----------------|
 | `release-0.3`         | ✔              | ✔              | ✔              | ✔              | ✗
-| `release-0.4`         | ✗              | ✗              | ✔              | ✔              | ✗
+| `release-0.4`         | ✗              | ✗              | ✔ (v1.16.2+)   | ✔              | ✗
 | `release-0.5`         | ✗              | ✗              | ✗              | ✔              | ✔
 | `HEAD`                | ✗              | ✗              | ✗              | ✗              | ✔
 
+Note: Due to a [bug](https://github.com/kubernetes/kubernetes/issues/83778) in Kubernetes v1.16.1, the kube-prometheus release-0.4 branch
+only supports v1.16.2 and higher.
+
 ## Quickstart
 
 >Note: For versions before Kubernetes v1.18.z refer to the [Kubernetes compatibility matrix](#kubernetes-compatibility-matrix) in order to choose a compatible branch.