The Blues are holding a two-point lead over Manchester United at the top of the Premier League, ahead of their meeting with Arsenal at Stamford Bridge on Sunday.
“After the draw at Hull (on Tuesday), we have to win on Sunday,” Carvalho said.
“Our challenge is to stay top until the end of the season and not have bad results at home.
“Arsenal have suffered many physical problems in attack but we’ve also had difficulties. It’s not an excuse because both clubs have quality on the bench.
“We must score a goal early, pressure Arsenal and to win the title we must win games like these.
“Now is the moment to show Chelsea deserve to be champions. The title is in our hands.”
