The Anfield outfit currently occupy second place in the Premier League, and trail Arsenal by five points ahead of Sunday's showdown with Tottenham at White Hart Lane.
|2/1||Liverpool are 2/1 with bet365 to beat Tottenham|
"It's not just about getting them, it's who is available," Rodgers said. "We did fabulous business last January with Coutinho and Sturridge.
"But if there are players out there, then I know the owners will support me. It has to be a player who will come in and make a difference."
The Northern Irishman admitted it was a blow to lose influential captain Steven Gerrard, who will be sidelined for up to six weeks with a hamstring problem, but challenged other members of his squad to stake a claim for a starting spot.
"Whenever any team misses its best player it makes a difference. He has been ever present during my time, fantastic on and off the pitch," Rodgers added.
"I couldn't have asked for any more of him. Of course we will miss Steven, as we will Daniel Sturridge. But it is up to someone to step up to the plate in his absence."