Which firms offer this accelerated interview process?
Most of the larger consulting firms, including McKinsey, Bain, and BCG offer the accelerated interview process for individuals who have an offer which will expire before having the opportunity to go through the on-campus recruiting cycle.
If you find yourself in this position and aren’t sure if the firm you want to apply to offers this, just reach out to a recruiter at your desired firm and they should be able to let you know whether they offer accelerated interviews or not.