Sarri has handed Hudson-Odoi a place in his starting line-up for Chelsea's past two matches - Tuesday's League Cup semi-final loss to Tottenham Hotspur and the 2-0 FA Cup win over Nottingham Forest last weekend in which the teenager set up both of Alvaro Morata's goals. The market window in January would be better for one week, 10 days.
Sevilla, Atletico Madrid and Barcelona are understood to be keeping tabs on the marksman but neither of the trio are likely to propose anything more than a temporary move with the obligation to buy.
Nevertheless, Sarri said on Thursday: "Alvaro has trained for one day with the rest of the lads so we will have to wait and see how he is". I am happy with the player because he is improving, improving a lot in the defensive phase.
"Because in this moment in Europe there are 300 players involved in the market and they need to think only to the next match otherwise it's impossible to play".
"I hope he will be available", Sarri said during a press conference.
'That is all he needs to do, he has all the conditions to be a great player, now it is up to him to fight for a place here or try to find more minutes somewhere else.
"Hasan Salihamidzic: 'He is a very interesting player we really want to sign", he told German newspaper Bild during a winter training camp in Doha.
Ruben Loftus-Cheek (back) is out and Morata (hamstring) is doubtful when the Blues face Newcastle, with Sarri hinting Hudson-Odoi and Andreas Christensen would drop to the substitutes' bench.
"It's normal", Sarri said.