McTominay was absent for last weekend's 2-2 draw with Liverpool due to an injury problem, while Rashford was forced off against Jurgen Klopp's side in the second period.
Rashford did not take part in Wednesday's training session, leading to suggestions that he would be unavailable for the clash against the Cherries this weekend.
However, the England international was able to train on Thursday and has a strong chance of featuring in the squad against Andoni Iraola's side.
A final decision on McTominay is yet to be made, although Ten Hag has admitted that the Scotland international is highly unlikely to be available for selection in Saturday's late start.
Rashford set to hand Man United injury boost«Scott: I don't think so,» Ten Hag told reporters during his pre-match press conference. «We have a training session, so we have a day, he will push, he is so keen to be a part of it tomorrow, so it's very questionable.
»And then Rashford: Rashy trained yesterday, so how he recovered from it today, we have another training today and then we will make a decision on it."
Man United will be without four central defenders for this weekend's contest, with Lisandro Martinez, Victor Lindelof, Raphael Varane and Jonny Evans all on the sidelines.
Ten Hag has admitted that it has been «very difficult» to have to change his back four on a constant basis this season, with both first-team left-backs Tyrell Malacia and Luke Shaw also out.
«It's very difficult [to keep changing back four]. So everyone who has a little (emphasises little with hand
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