Chelsea recovered from that shock defeat to beat Manchester City on Wednesday and still hold a seven-point lead over their nearest rivals, who just about kept in touch with a miraculous comeback win over Swansea in midweek.
"It's always a battle with him when we play one against one", the man-of-the-match told BT Sport. "So now we want to [get in] the Champions League places". "But it's a game of football and we will go there to win".
It is a big win [over Man City]. The only message I send them is that we must think Tottenham could win eight games.
The former Atletico Madrid goalkeeper, who spent three years at the Vicente Calderon between 2011 and 2014, also distanced himself from a move to Real Madrid and is hoping to make "many more" appearances for Chelsea after starting his 100th game for the club during their win over City.
At the moment, Chelsea, Tottenham Hotspur, City and Liverpool occupy the spots in the top four. "We are disappointed we couldn't win the game".
Sunderland are 10 points adrift of the safety zone while Boro, without a win since December, are seven behind Hull.
"We felt that before the game today".More news: Amazon Cash lets you shop without bank card
"The Premier League is gone now".
Asked whether that meant he would stay at Chelsea next season, Conte replied: 'Yes, for the next season'. "Hopefully next season we'll be stronger".
"It wasn't easy but when you play against City it's normal to suffer in some parts of the game", Conte said, "but I think we suffered as a team in the right way".
"They got six points".
City remain fourth, 14 points below Chelsea, and with Arsenal and Manchester United hot on their heels - both four points back with a game in hand - Guardiola knows they face a scrap for a top-four finish.
Palace fell back to earth with a bump after their weekend heroics at Stamford Bridge, losing 3-1 at Southampton while West Ham's fifth defeat on the spin keeps Slaven Bilic's side too close to the relegation zone for comfort.
Guardiola, who felt City's performance was better than in Sunday's draw at Arsenal, said: "Absolutely (City were better than Chelsea)". We advise that all users switch to using the new Disqus comment system as soon as possible to ensure a smooth transition. For Eden, Chelsea are lucky to have a player of Thibaut's calibre in the them. When there is the possibility to send some message, I think these players don't need this message.