OMD UK, Universal McCann and a representative of the Starcom Group, have all been invited to pitch against the incumbent for the £10 million centralised account.
RHM, which stands for Rank Hovis McDougall, produces household brands including Hovis, Mother's Pride, Sharwoods, Bisto, Mr Kipling and Saxa.
Briefs will be sent out later this month with pitches planned for early next year. The media auditor Billetts is involved in the review.
The review is believed to be part of a process of due diligence instigated by the procurement department. The process will not have come as a surprise to Vizeum, formerly BBJ, although it has enjoyed a solid relationship with the food company.
The pitch follows a series of management changes within the marketing function at the food giant, however.
Earlier this year, Ginny Knox, the group marketing director of RHM and the managing director of RHM's bread and grocery division, Centura, appointed the Sharwoods head of marketing, Sue Knight, as the brands director.
There have also been changes at RHM Bread Bakeries - the marketing team was centralised following the promotion of the brands director, Paul Moss, to divisional marketing director in the summer.
The creative account is not thought to be affected by the coming media review. BMP DDB handles advertising for the flagship Hovis brand, while Sharwoods is held by TBWA\London.