Re: "delete this" question

I have a set of classes whose objects normally delete themselves,
due to threading issues.

Occasionally, there will be no thread associated with the
object, so I'd like the "quit" method to go something like
this:

bool MyClass::quit()
  {
    quitFlag = true; // synchronization checks omitted for clarity

    // check whether there are any threads running

   if ( no_threads_running )
      {
        delete this;
        return true;
      }
   return false;
 }

I _think_ this is safe, since I'm not explicitly doing anything
with the class after the "delete this", but I thought I'd
check with the Gurus here at clc++m.

Is this likely to be safe with any reasonable implementation
of C++?