diff --git a/src/persistState.js b/src/persistState.js
index 09a6d598..1469ab24 100644
--- a/src/persistState.js
+++ b/src/persistState.js
@@ -1,14 +1,30 @@
-export default function persistState(sessionId) {
+export default function persistState(sessionId, deserializer = null) {
   if (!sessionId) {
     return next => (...args) => next(...args);
   }
 
+  function deserializeState(fullState) {
+    if (!fullState || typeof deserializer !== 'function') {
+      return fullState;
+    }
+    return {
+      ...fullState,
+      committedState: deserializer(fullState.committedState),
+      computedStates: fullState.computedStates.map((computedState) => {
+        return {
+          ...computedState,
+          state: deserializer(computedState.state)
+        };
+      })
+    };
+  }
+
   return next => (reducer, initialState) => {
     const key = `redux-dev-session-${sessionId}`;
 
     let finalInitialState;
     try {
-      finalInitialState = JSON.parse(localStorage.getItem(key)) || initialState;
+      finalInitialState = deserializeState(JSON.parse(localStorage.getItem(key))) || initialState;
       next(reducer, initialState);
     } catch (e) {
       console.warn('Could not read debug session from localStorage:', e);