Conte's current deal at Chelsea is worth £6.5m a year, less than the £7.5m a year paid to previous Blues boss Jose Mourinho.
The league might not be the only thing the club wins this season - the Blues face Arsenal in the FA Cup final on May 27 and, if they grab that, they would become the first club to win the double since the 2009/10 season.
And Conte firmly believes the Premier League champions can improve even further in 2017-18. "It is a great season but now we can win the FA Cup", he said.
"We've been together as a group all season - that's what got us to where we are".
"I'm enjoying it a lot because when you put a lot of passion, enthusiasm and hours into your work, and you don't sleep, when you arrive in the moment it's only right to celebrate with my fans, staff and the club".
The Italian has said he wants to remain at Stamford Bridge after lifting the Premier League title in his first season in charge, despite reports in Italy that Inter Milan want to take him home. "And we can improve".
"Only one year later, to celebrate this win in a league where there are big, big teams with great players and great managers, for me it's important to celebrate now". We have the same ambition.More news: Cheryl FINALLY breaks social media silence after two months
'We tried to win our games but last year was just an off year, especially for a team like Chelsea and the players which were here.
The Italian had already been drenched by champagne, iced water and beer in the dressing room, forcing a change of clothes, before his post-match media conference was brought to an abrupt halt by Costa and David Luiz.
Luiz monitored the time taken for questions and Costa held the fire extinguisher aloft in the direction of journalists.
Chelsea technical director Michael Emenalo will meet the manager this week to discuss summer transfer targets, with Romelu Lukaku, Leonardo Bonucci and Virgil van Dijk on the club's wanted list.
6 midfielder Cesc Fabregas now has an unmatched six seasons with at least 10 Premier League assists.
"Obviously next year there is a new goal, with the Champions League coming for us", Courtois added. Sometimes we play well, but concede a goal and then it's hard to get back in the game.
'They said we didn't want to play any more, they said we were lazy, that kind of stuff, and it's not true.