Both Campbell's novel Maya and Blair's memoir A Journey had reached the longlist for the dubious accolade, which rewards "poorly written, redundant or crude passages of a sexual nature" in literary works.
Jonathan Beckman, a judge at the Literary Review, said that while Blair's description of himself 'devouring the love that Cherie gave' was "grim", it was not strong enough to reach the shortlist.
Campbell, meanwhile, passed to the next stage of the competition for his passage which read: "The walls were going to fall down as we stroked and screamed our way through hours of pleasure to the union for which my whole life had been a preparation."
Beckman commented: "This one is really bad. He seems to be really giving it a go; really gripping the bull by the horns."
Campbell faces competition from Jonathan Franzen, Christos Tsiolkas and Rowan Somerville for this year's prize.
Former nominees include Grinderman and Bad Seeds frontman Nick Cave.