The fight will take place on July 22 in London, according to informed sources close to the situation.
Paul Craig, 35, will be looking to get his career back on track after two losses in a row, losing a unanimous decision to Volkan Oezdemir and losing a TKO to Johnny Walker.
Andrei Muniz, 33, suffered his first loss under the UFC banner in a previous fight, losing by rear naked choke to Brendan Allen. Before that, the Brazilian fighter went on a series of five victories in the organization, three of which he got ahead of schedule.