The initial prognosis for Martial was to miss the remainder of the season, throwing his availability for the Europa League final in doubt.
James has also missed the recent run of games while captain Harry Maguire is definitely out with an ankle injury.
Any return for the pair would be timely with the Europa League final just over a week away and manager Ole Gunnar Solskjaer is hopeful one or both could feature at Old Trafford.
Manchester United predicted XI (4-2-3-1): Henderson; Wan-Bissaka, Lindelof, Tuanzebe, Shaw; McTominay, Pogba; Rashford, Fernandes, Greenwood; Cavani
Fulham predicted XI (4-2-3-1): Areola; Tete, Andersen, Adarabioyo, Aina; Lemina, Reed; Lookman, Reid, Carvalho; Mitrovic
Manchester United provisional squad: De Gea, Henderson, Grant, Wan-Bissaka, Williams, Lindelof, Bailly, Tuanzebe, Shaw, Telles, Matic, McTominay, Fred, Pogba, Fernandes, Mata, James, Diallo, Van De Beek, Elanga, Rashford, Martial, Greenwood, Cavani.
Additional reporting by Press Association.