The Brazilian centre-back has been out of favour at Stamford Bridge this season and he is determined to leave if Antonio Conte stays at the club.
The Chelsea head coach said it is crucial for Gareth Southgate, the England manager, to have a player of Cahill's experience at his disposal.
Cahill remains Chelsea's captain, a role he took on full-time following John Terry's departure past year and Conte suggested a period of adjustment has been necessary in the club icon's absence.
"He had this problem in his knee, but he is working very hard and I think he is aiming to come back before the end of the season", the Italian coach added.
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The result now means that Chelsea are just two points behind Tottenham Hotspur, who have a game in hand, while it looks like the scramble for relegation will go down to the wire for Swansea after Southampton's win over Bournemouth trimmed the gap between the two sides to just a single point.
"I think Cahill developed a lot this year, but we have three or four players who take responsibility, who try to lead the team".
In a little over six years as a Chelsea player, Cahill has won the Premier League twice and has a winner's medal for each of the FA Cup, League Cup, Europa League and Champions League. He has great experience. Now I think it's right to give an opportunity to Gary to play more.
Antonio Conte's Chelsea edged out Swansea City at the Liberty Stadium yesterday to record a third successive away victory in the Premier League.
Seri has been one of the best all-round midfielders in French football since joining Nice from Pacos de Ferreira in 2015 while he's also a regular with the Ivory Coast national team.