Swansea boss Paul Clement has again promised to speak to John Terry about his future plans, while insisting extensive summer surgery is not necessary after the club's brush with relegation.
Conte says it will be a "surprise" whether Terry starts against Sunderland on Sunday in what would be his final match for Chelsea and spoke highly of the performances of Gary Cahill, who has worn the armband in his stead.
The former England global has attracted plenty of attention from clubs in the Premier League, MLS and China ahead of him leaving Chelsea when his contract expires in June.
"I'm going to get this season done, and he's obviously got a lot on himself", Clement said.
"For this reason I think I have to take my time and to make the best decision for him".
"John has been here a long, long time".
"I don't know what his thinking is, whether he's going to carry on first of all - there's been talk in the media that it's going to be his last game. That is all unsure at the moment".
He has made over 700 appearances for the club since making his debut in 1998 but could make his final league appearance in Sunday's home game against Sunderland.
Record signing Borja Baston (knee) is set to miss out with head coach Paul Clement promising to select the strongest side possible after Swansea secured their top-flight status last weekend.
"If Thibaut stays in London he deserves the best conditions at his level".
"If you feel this, then it's right to continue your career".
Alli has also enjoyed personal success this year after he won the PFA Young Player of the Year award for the second season in a row. Even if it had been 20 in the first half we would have had 49 points, and we would have been eighth or ninth in the league.
"Video technology and looking at instant replays of major incidents are the steps that need to be taken", Clement said.
The Swans have a mixed record on the final day of the Premier League season since they joined in 2011, winning and losing twice, whilst drawing the other. I think it's an unbelievable target for us.