Indeed, the hosting manager only has Marek Rodak (hand) and Tom Cairney (knee) to worry about this weekend, but after a memorable triumph over Liverpool last time out, Parker may opt to deploy the same XI from that win at Anfield last weekend.
Alphonse Areola continues to impress as the last line of defence with five clean sheets in his last seven matches, and he has been helped by the solid performances of Joachim Andersen and Tosin Adarabioyo in the heart of defence.
Kenny Tete and Ola Aina should reprise their roles out wide as Antonee Robinson makes do with a spot on the bench once more, while Bobby Decordova-Reid and Ademola Lookman will continue to provide the width further up the pitch after strong showings at Anfield.
Ruben Loftus-Cheek and Andre Zambo Anguissa are both options for change in the middle of the park, but Parker will not consider dropping Mario Lemina after his Anfield winner, while Harrison Reed's spot should be safe as well.
The Cottagers can call upon Aleksandar Mitrovic as they aim to build on the league-low eight home goals they boast this season, and while Josh Maja or Ivan Cavaleiro may have concerns over their spots in the team, Parker is not expected to drop any member of the XI who started on Merseyside last weekend.
Fulham possible starting lineup:
Areola; Tete, Adarabioyo, Andersen, Aina; Decordova-Reid, Lemina, Reed, Lookman; Maja, Cavaleiro
Watch the Sports Mole Football Shorts prediction for this game below: