Palace are without a number of defenders heading into the game at Old Trafford, with the likes of Mamadou Sakho also set to miss the match despite making a return to action as a substitute in the Carabao Cup defeat on penalties against Bournemouth in midweek.
Cahill, Van Aanholt and Tomkins have all played key roles at Selhurst Park in recent seasons, and Hodgson says that the most recent updates on the fitness of the trio have been positive.
“They’re running today,” Hodgson told reporters. “They’re out on the pitch again running, but of course their running is being quite strictly controlled by the rehabilitation people – the physios and sport scientists.
“But it’s good to see them all out on the field of play. The updates is get that they’re making good progress, but of course all of them are within that time limit – we expected them to be out for a period of time with that level of injury.
“They still haven’t reached a point yet where we are expecting that the injury has now passed. But they’re making very, very good progress.
“I would say that Gary Cahill in particular is well in advance of the most negative prediction for his return, and the other two are pretty much on line where the physios are expecting them to be.
“So I’m hoping that maybe it won’t be that much longer before they are joining us as well as Mamadou Sakho has done last week. Those three are still separate.
“Christian Benteke has trained today with the group, and then people like Connor Wickham and Luke Dreher – they joined in with the very first part – pretty much non-contact part of it just to get back in the fold.”