diff --git a/packages/block-editor/src/store/selectors.js b/packages/block-editor/src/store/selectors.js
index 31ee6778da8d0d..2ea098c9ab5ab9 100644
--- a/packages/block-editor/src/store/selectors.js
+++ b/packages/block-editor/src/store/selectors.js
@@ -1871,7 +1871,11 @@ export function canMoveBlock( state, clientId ) {
 	}
 
 	const rootClientId = getBlockRootClientId( state, clientId );
-	if ( getTemplateLock( state, rootClientId ) === 'all' ) {
+	const templateLock = getTemplateLock( state, rootClientId );
+	if (
+		getTemplateLock( state, rootClientId ) === 'all' ||
+		templateLock === 'contentOnly'
+	) {
 		return false;
 	}
 	return getBlockEditingMode( state, rootClientId ) !== 'disabled';