Chelsea come into this match at the back of a FA Cup semi final win against rivals Tottenham.
Tottenham will be feeling the heat after Chelsea beat Southampton 4-2 to edge closer to the Premier League title, say Blues goalscorers Eden Hazard and Gary Cahill.
Cahill missed Saturday's FA Cup semi-final win against Tottenham because of illness and was replaced by Nathan Ake, who had an excellent game.
On Tuesday afternoon, Chelsea's supporters were out in full force on Twitter as they considered the importance of tonight's fixture in the English capital.
The former Atletico Madrid ace has a huge offer on the table from the Chinese Super League but Conte says the speculation is just created to unsettle Costa and Chelsea.
Chelsea - Courtois 7, Azpilicueta 7, David Luiz 7, Cahill 8, Moses 7, Kante 8, Matic 7, Alonso 7, Fabregas 8, Diego Costa 8, Hazard 9.
But Conte, whose side entertain Southampton in a vital Premier League tussle on Tuesday, has taken exception to former Arsenal skipper Fabregas's viewpoint, insisting that he would not indulge such a player in his squad.
Chelsea last secured a league and FA Cup double in 2010 under Italian manager Carlo Ancelotti's first season at the club, although Conte dismissed comparisons, saying he had inherited a squad in a hard period, having finished 10th in the league last season.
After setting up Eden Hazard's fifth-minute opener at Stamford Bridge, Costa netted two contrasting goals in the second half. "Southampton have good players and play good football", he told Sky Sports News.
Chelsea took a half-time lead when Saints failed to clear.
Hazard drove at Saints down the right before passing to Fabregas.
Southampton would not roll over and Conte repeatedly urged his defenders to stay focused.
Spurs' talented side have been winning plaudits for their impressive progress but this was the second Wembley defeat they have suffered to Chelsea, beaten in the 2015 League Cup final.
Terry was roundly cheered and there was further delight for home fans when Costa exchanged passes with Hazard, then Pedro, before driving the ball in.