The postholder will be charged with boosting the profile of the CMP on TV and in national press. The role may also involve bringing in a celebrity to get its message across.
He or she is expected to be the face and spokesperson for the CMP.
Animal-rights campaigners made the headlines last month when three men were remanded in custody in Staffordshire, accused of digging up a grandmother's grave in order to blackmail the owners of a guinea-pig farm. The owners of Darley Oaks Farm revealed it would wind down the business in August as a result of continued harassment.
'It's a huge challenge,' said CMP head of media relations Wendy Jarrett. 'People don't know testing [on animals] for cosmetics was banned in 1997. They need to understand our message.'
'We have worked with[actress] Jane Asher in the past,' she added. 'To get an intelligent, logical face in front of the public is something we are looking at.'
Formed in 2003 by academic, charitable and commercial medical organisations, the group lost director Philip Connolly in June when he moved to animal health firm Merial.