The redesign will be the first task handled by former Selfridges marketing director Beverley Churchill since she joined the retailer in October last year (Marketing, 6 October).
An agency pitch is expected to involve both branding and in-store design, and is part of Green's plan to revitalise the business. Last year he conceded that Bhs profits were likely to fall by about 30%. Like-for-like sales in the Christmas period fell by 7%.
It is not the first time Bhs has reviewed its store design and Green has admitted his attention has been diverted by his Arcadia store group, whose profits rose by 10%.
Last year Bhs unveiled a store in Nuneaton whose design was intended to serve as a blueprint for the rest of the chain.
The store used a dark green fascia as opposed to Bhs black, and was seen as a riposte to Marks & Spencer's green branding.
Bhs' decision to return to its traditional focus on its stores comes after it dabbled in advertising two years ago.
In 2004, former marketing director Romney Drury was responsible for a £6m TV advertising campaign created by United London.
Despite Green's promise of investment in Bhs and the well-publicised success of rival M&S' advertising campaigns, the retailer did not run an advertising campaign over the Christmas period.