Leeds will travel to Bolton for a 3pm kick-off next weekend, with Redfearn's side in dire need of an upturn in form.
Bolton, by contrast, would be seventh in the league table based on their last six games, meaning Leeds are hardly likely to have it easy at the Reebok Stadium.
Redfearn, however, could have new players at his disposal by next Saturday, according to the 49-year-old.
Redfearn hopes to have signings before Bolton on Saturday: "I'd like to think so. Hopefully we can add more competition for places." #lufc— Leeds United FC (@LUFC) January 4, 2015
The Leeds boss was speaking after his side's 1-0 FA Cup loss at Sunderland earlier today.
The Yorkshire club are currently under transfer embargo but loopholes within Football League rules may allow them to strengthen this January.
Names such as Leonardo Pavoletti have been linked with United in recent weeks and Redfearn could do with a boost ahead of the Bolton clash.