With a huge game against Liverpool at Stamford Bridge on Sunday, Conte says his team are ready to put even more pressure on the teams above them. On May 8, the next-to-last game of the season for both sides, Swansea host Southampton.
"Every game we have to show our pride and show we want to make it happen, put pressure on the teams above us", he said. It won't be easy.
"But instead we kept the game in balance and it happened against West Ham the same".
"It is not simple to win a game in this league, but for sure our situation is not in our hands".
The Blues were swiftly off their blocks when Cesc Fabregas pounced on an opportunity in the 3rd minute to register his 50th career goal since first arriving in England back in 2003.
Palace, which looked destined for relegation after losing its opening seven fixtures without scoring a goal, has climbed to 11th place to sit six points clear of the bottom three, where only Southampton are capable of catching the south London club. "The big problem we are having this season is that we create many chances to score but we don't take them", Conte said.
"It is something very positive if we play like that under pressure, the pressure is welcome because we play in a good way to stay in the division".
"Every team is fighting for something, 80 per cent of the league, so yes we played before (Spurs) this time - they are playing after us".
"We just have to keep on winning, but they obviously have the advantage because they are on top". Against Swansea we had the chances to kill the game too.
He told Match of the Day: "It's a massive three points for us".
There is still some hope for Chelsea in terms of qualifying for the Champions League next year with three league games to go before their FA Cup final against Manchester United at Wembley on the 19th of May.
Southampton, hoping to extend their six-season stay in the top flight, are one point adrift of safety with three games left.
But Swansea improved after the break and produced several moments of danger, although in the end they suffered a first home league defeat since January 2.
"We had to make changes, that is always a bit of a rhythm breaker, in the final third everything is instinct between the regulars, and we missed a bit of that", said Klopp, who added Liverpool had not sustained any further injuries.