The quick turnaround in fixtures could see Parker consider some changes nonetheless, with Sunday's match coming just three days after a narrow and controversial defeat to Tottenham Hotspur.
Josh Maja saw a goal ruled out for a contentious handball in the build-up during that match - a decision which has since led to IFAB changing the law when it comes to accidental handballs in the lead-up to goals.
The January arrival will have fond memories of Merseyside, though, having scored both of his Fulham goals so far in a victory over Everton at Goodison Park last month.
Andre-Frank Zambo Anguissa, Kenny Tete and Joe Bryan will also be knocking on the door for inclusion, but Parker is unlikely to tinker too much with a formula which has fared well for his side in recent weeks.
Fulham possible starting lineup: Areola; Aina, Andersen, Adarabioyo, Robinson; Reed, Anguissa; Cavaleiro, Loftus-Cheek, Lookman; Maja
Watch the Sports Mole Football Shorts prediction for this game below: