Implement a poor man's PostAfterStartupTask() function.

content/browser/appcache/appcache_update_job.cc

Index: content/browser/appcache/appcache_update_job.cc
diff --git a/content/browser/appcache/appcache_update_job.cc b/content/browser/appcache/appcache_update_job.cc
index 4848c9a5f15019ae07ff5a5c0dc7d26e7239e3b0..a31f3e60586e4dc9fcb97d83368b95cda0de7e33 100644
--- a/content/browser/appcache/appcache_update_job.cc
+++ b/content/browser/appcache/appcache_update_job.cc
@@ -13,6 +13,7 @@
 #include "base/strings/stringprintf.h"
 #include "content/browser/appcache/appcache_group.h"
 #include "content/browser/appcache/appcache_histograms.h"
+#include "content/public/browser/browser_thread.h"
 #include "net/base/io_buffer.h"
 #include "net/base/load_flags.h"
 #include "net/base/net_errors.h"
@@ -371,7 +372,8 @@ AppCacheUpdateJob::AppCacheUpdateJob(AppCacheServiceImpl* service,
       manifest_fetcher_(NULL),
       manifest_has_valid_mime_type_(false),
       stored_state_(UNSTORED),
-      storage_(service->storage()) {
+      storage_(service->storage()),
+      weak_factory_(this) {
     service_->AddObserver(this);
 }
 
@@ -451,7 +453,12 @@ void AppCacheUpdateJob::StartUpdate(AppCacheHost* host,
                               is_new_pending_master_entry);
   }
 
-  FetchManifest(true);
+  BrowserThread::PostAfterStartupTask(
+        FROM_HERE,
+        base::MessageLoop::current()->task_runner(),
+        base::Bind(&AppCacheUpdateJob::FetchManifest,
+                   weak_factory_.GetWeakPtr(),
+                   true));
 }
 
 AppCacheResponseWriter* AppCacheUpdateJob::CreateResponseWriter() {