Muir said the agencies had been asked to come up with plans for the firm in the replacement tyre market.
He refused to disclose the fees involved, but indicated that they would be dependent on the ideas put forward by the agencies.
Consumer PR work is currently handled in-house for the Michelin brand, with freelances taken on as required.
Muir said the decision to appoint depended fully on the strength of the pitches: 'We're looking at ideas to see if we should have consumer support within this area. It may be that we decide the ideas are not strong enough and carry on as we are.'
Corporate work for Michelin is currently undertaken by Bell Pottinger.
It is understood the agency's position is unaffected by the review.
In January, Michelin appointed Manchester-based Communique Public Relations in an attempt to push its BFGoodrich brand in the mainstream media (PRWeek, 1 February).