Brendan Rodgers' men head to Boundary Park on Sunday, January 27th for a 4pm kick-off before the ITV1 cameras.
A statement on Latics' official website confirmed the club will receive a £135,850 "facility fee".
Paul Dickov's League One outfit earned the plum tie after shocking Championship Nottingham Forest 3-2 at the weekend.
The two sides met in the third round last season, with Robbie Simpson putting Oldham ahead at Anfield before Liverpool ran out 5-1 winners.
Former Huddersfield and Coventry forward Simpson also bagged a second-half brace at the City Ground on Saturday.