The event will be held at United Center in Chicago.
Johnson (16-2-1) became the first UFC 125-pound champion on Sept. 22, when he defeated Joseph Benavidez by split decision in Toronto.
Dodson (14-5) returned to flyweight competition on May 5 -- five months after winning "The Ultimate Fighter" Season 14 as a bantamweight.
He earned the flyweight title shot on Oct. 5 with a second-round TKO of Jussier Formiga.
Pettis and Cerrone have been engaged in an ongoing war of words for several months. In August, Cerrone accused Pettis of avoiding him.
But the former WEC 155-pound champion has not fought since Feb. 26 -- a first-round knockout of Joe Lauzon -- because of injuries.
Pettis and his handlers revealed on Oct. 16 that he sprained a shoulder during a training session. Several months earlier, he had undergone shoulder surgery.
Pettis (15-2) was admitted into a Milwaukee-area hospital on Oct. 22 with cellulitis, a skin infection, in his elbow.
Cerrone (19-4, one no-contest) secured his spot in the title eliminator on Aug. 11 with a first-round knockout of Melvin Guillard.