Martin Glenn, the chief executive of Birds Eye and the former president of PepsiCo, is overseeing the review, which will kick off next month.
BBH has handled the account for just over three years.
Glenn has a longstanding relationship with AMV, which worked on the Gary Lineker campaign for PepsiCo's Walkers brand. He was hired by Birds Eye in October last year, one month after Permira Funds bought the company from Unilever for £1.6 billion.
The pitch follows news of a review of Birds Eye's media planning and buying business out of MindShare. MindShare's parent company, WPP, has offered to move media duties into Mediaedge:cia in a bid to keep the business.