"They're not short of options, without a shadow of a doubt", Dyche said, ahead of Sunday's game which is live on Sky Sports 1 HD. Spurs can not afford to let go of any of their first-team players, and the 23-year-old has been a consistent performer in the squad for the past few seasons now. The Red Devils head to the Turf Moor seeking a better result than their 0-0 draw in the first meeting.
Sean Dyche's side suffered another away defeat as they were beaten by Everton 3-1 last weekend.
However, if Burnley can remain resolute United could feel the fatigue created from Anderlecht taking them to extra-time on Thursday evening in a match that saw Marcos Rojo and top goalscorer Zlatan Ibrahimović come off injured.
In the last league tie, United managed a 2-0 victory over Chelsea, courtesy of Rashford and Ander Herrera's goals.
"The great thing about our squad is we have quality players all around in every position and people can come in and go out", Shaw said on MUTV.
Yet Dyche insists the notion it is a certainty that he will be depart this summer is alien to him and he believes Burnley will approach any negotiating table with a strong hand given their financial situation.
Crystal Palace boss Sam Allardyce wants Mamadou Sakho deal
Palace, however, have been revitalised under boss Sam Allardyce and have found some consistency of their own, picking up 13 points from their last six games to surge away from the relegation zone.
"That's where the club has changed". There's no story. When everyone reads it, they'll all say: 'That's exactly what we've been told.' I'm open and honest with the players. He equally knows the appropriate time when we will speak about his future. If it doesn't fit, crack on.
He added: "It's a natural part of the club's continuing progress".
Another youngster from the famed Manchester United youth academy, Rashford has had a very good season under Mourinho - played over 1000 minutes for the club and scored 10 goals in all competitions.
From what I have seen on the pitch he seems handy enough but we need real pace at the back to move to the next level in my view.
In his press conference, Mourinho hinted that Axel Tuanzebe may have to play a larger role in the coming weeks for United.