The only recognised striker Spurs now have in their squad is exciting 17-year-old prospect Parrott, but Mourinho has previously admitted he is not ready for the step up to Premier League football yet.
Asked whether Parrott is ready to play in the FA Cup on Saturday, Mourinho replied: "He is ready to work with us every day, like he's doing. He trains with the group.
"After training he has a special programme of individual development of his qualities as a striker and this club takes very good care of the players.
"If he has to play with us he will do his best, he will show his good qualities, he will show his frailties because in this moment he is a 17-year-old kid with frailties in his game.
"It's possible that he is selected for the game."