Bamford suffered an injury during Leeds’s goalless draw with Chelsea at Elland Road in the Premier League last weekend.
The former Nottingham Forest striker had to be substituted, and there were doubts that the 27-year-old may not be available for the game against Fulham.
Leeds will take on Fulham away from home at Craven Cottage in London in the Premier League on Friday evening.
Leeds Live quotes Bielsa as saying when asked if Bamford will play on Friday: “We think that yes, he will play on Friday. He has a knock on his hip that is painful but we don’t think it will make him miss the game.”
Leeds are 12th in the Premier League table at the moment with 36 points from 28 matches, while Fulham currently find themselves third from bottom in the standings with 26 points from 29 games.
Bamford has scored 13 goals and provided five assists in 28 Premier League games for Leeds so far this season.