It has been reported that the 29-year-old is to move to Serie A side Torino on loan.

Hart has been dropped by Manchester City boss Pep Guardiola and has not played a Premier League game this season.

Manchester City were unavailable to comment on reports that Torino have booked a private jet to take Hart to Turin on Tuesday if City approve the deal.

Hart is third-choice at City following the signing of Claudio Bravo from Barcelona, but has retained his place in Allardyce's first England squad for the World Cup clash in Slovakia on Sunday.

Allardyce had told a press conference on Monday morning that he was willing to let players leave his training camp before Wednesday's transfer deadline to address their club futures.

"I would (allow them to leave)," Allardyce said.

"Yes it can be a distraction and I will address the players about it today when they arrive, so we can know as quickly as possible and can deal with it as quickly as possible.

"How we deal with it I don't know yet.

"I am sat here with my squad for the first time and hopefully there won't be any issues on that between now and when the window shuts."

On the specific case of Hart, Allardyce said: "If there is anything in the pipeline, then hopefully Joe will tell us 'this may happen' and we can get ready for it."

Torino's director of sport Gianluca Petrachi has said his club are hoping to agree a deal with Hart.

He was quoted as telling Sky Sport Italia: "We're working on it, but if it isn't going to be Hart then we will keep on working for somebody else, even if there are only a few days to go until the market closes."