diff --git a/architecture/build-containers.md b/architecture/build-containers.md
index 61cfe9d89..6ed267c6f 100644
--- a/architecture/build-containers.md
+++ b/architecture/build-containers.md
@@ -38,7 +38,7 @@ The `openshell-sandbox` supervisor is delivered by the selected compute driver:
 
 | Driver | Supervisor delivery |
 |---|---|
-| Kubernetes | Sandbox pod image or Kubernetes driver pod template configuration. |
+| Kubernetes | Init container copies the supervisor binary from the supervisor image into an `emptyDir` volume shared with the sandbox container. Configured via `supervisor_image` / `supervisor_image_pull_policy` in `KubernetesComputeConfig`. |
 | Docker | Local supervisor binary or supervisor image extraction configured by the gateway. |
 | Podman | Read-only OCI image volume from the `supervisor-output` image. |
 | VM | Embedded in the VM runtime rootfs. |
diff --git a/architecture/podman-driver.md b/architecture/podman-driver.md
index c6fcfdb0d..1c805e0cb 100644
--- a/architecture/podman-driver.md
+++ b/architecture/podman-driver.md
@@ -84,7 +84,7 @@ All capabilities are only available to the supervisor process. Sandbox child pro
 
 ## Supervisor Sideloading
 
-The supervisor binary is delivered to sandbox containers via Podman's OCI image volume mechanism, distinct from both the Kubernetes hostPath approach and the VM's embedded rootfs.
+The supervisor binary is delivered to sandbox containers via Podman's OCI image volume mechanism, distinct from the Kubernetes init-container approach (which copies the binary into an `emptyDir` volume) and the VM's embedded rootfs.
 
 ```mermaid
 sequenceDiagram