1115 GMT May 27, 2018
Chelsea faces its biggest challenge in its remaining five matches at Everton, which is on a run of eight successive home victories, AFP reported.
However, Conte will hope his side extends its lead over rival Spurs to seven points before Tottenham kicks off in the north London derby with Arsenal later today.
Arsenal, which is still in the race to try and secure a Champions League spot, five points adrift of fourth-placed Manchester City and with a game in hand, at least ha restored some battered morale with two wins this week including a gutsy victory over Manchester City in the FA Cup semifinal.
Today, both City and fifth-placed Manchester United are also in action and would hope to both pick up three points as they play two relegation candidates in Middlesbrough and Swansea respectively.
Conte is adamant he would not swap the temperamental Costa, who has 19 goals to his name this season, including a welcome return to form with a double against Southampton on Tuesday, with Lukaku, who tops the scoring charts with 24.
"As I've said before, for me my players are the best in the world. I wouldn't change my players with any other players."
His Everton counterpart Ronald Koeman was not happy at all with his players' attitude in the goalless draw with West Ham last weekend and is looking for a vast improvement.
"It is always difficult if you have already the seventh position in the pocket and maybe they get a little bit more holiday or end-of-season feeling," said Koeman. "That is what I don't like."
Spurs will be seeking to win the 50th Premier League meeting with Arsenal to keep the pressure on Chelsea.
For Argentine manager Mauricio Pochettino beating Arsenal is necessary not for bragging rights but to keep their dreams alive of winning the title.
"My feeling is now, when you are so close – only four points the gap – I will be very disappointed if we don't win the title," said Pochettino.
"My challenge or my aim is not to be above Arsenal. My aim is to be above 19 teams and to be first, to be on the top."
Arsenal counterpart Arsene Wenger has a greater spring in his step since his players rediscovered their fighting spirit and he still has not even give up hope of a top three finish.
"We have an opportunity to be in there only if we win our games, we don't have to speculate at all," said the 67-year-old Frenchman.
For the Manchester clubs, victories would see them leapfrog third-placed Liverpool, which plays Watford tomorrow.
City has had two closely-fought matches already with Middlesbrough and with the latter having beaten Sunderland in midweek Pep Guardiola's side may find it a tough task to take all three points.
United hosts a Swansea side that at least comes into the game having beaten Stoke last weekend.
United manager Jose Mourinho believes that whether his side qualifies for the Champions League or not he has already accomplished something that was lacking last season under Louis van Gaal.
"I think Mr. Van Gaal left a good group of boys with very good relations between them," said the Portuguese handler.
"But I think they missed happiness, they missed trust, belief, this extra bit that brings resilience, brings fight and they have it now."