The striker has missed just two minutes Premier League action this season and Colin Pascoe revealed the player is likely to reject being rested against the lower-league opposition
The League One side travel to Anfield, where Liverpool will be determined to avenge last season's 3-2 loss to the same opponents in the fourth round.
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"You would always look at [resting players] but if you ask Luis, he would say no because he wants to play every game," Pascoe told the club's official website.
"He couldn't put his boot on two days before the Hull game. He just has that kind of mentality and is a man who wants to play every game.
"If Brendan told him he was going to rest him in the cup, I'm sure he would say he wants to play. That's the kind of person he is. He wants to play every game.
"He just gets up and gets on with it, that's the type he is - he just gets up, dusts himself down and what he does best then is put the ball in the net."
Rodgers is not blessed with striking options for the game, with Daniel Sturridge still injured and Iago Aspas regaining fitness after a thigh lay-off, although the Spaniard featured in all three of Liverpool's festive fixtures, starting Wednesday's 2-0 win over Hull City.