While the Evertonian has been out injured for first half of the season, he has resumed training and thus will be available to play in all four competitions for the Blues.
Alex Apati of Ladbrokes explained: "If Conte is looking for strength in depth, he could do a lot worse than adding Barkley to his ranks and it looks as though the Italian gaffer may have won the race for the England star".
Speaking in his weekly press conference, Allardyce said: "I think that we are resigned and the club was resigned before I got here that we're going to lose Ross and I can't see that changing".
The current Premier League champions attempted to sign the 24-year-old midfielder in the summer, in a deal worth around £35million, but he ended up staying at Goodison Park to continue his recovery from hamstring surgery.
"We need some pace in the side so we are trying".
Asked about Mirallas' future, Allardyce said: "It depends on many factors". Then that transfer may well occur.
"Personally, if anybody is going to leave it would have to be the right fee for us and we consider if we could use that money somewhere else to strengthen our squad".
"It is the hardest window to work in, but we are trying to cure one of the areas where we feel we have a problem".
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