The league leaders sit nine points clear at the summit after the latest round of fixtures, Antonio Conte's side inflicting a 3-1 defeat on title rivals Arsenal on Saturday.
Only Spurs have beaten Conte's side in the league since September but Keane believes Burnley - who have won nine times at Turf Moor this term - can help give the title race a new twist.
"We feel more motivated feeling like we've been robbed of points," said Keane.
"We believe we can beat Chelsea. Our home form has been unbelievable. They are in for a tough game.
"They have a lot of great players in good form. It will be tough but when we are at home in front of our own fans we have that belief we can beat anyone. We showed that against Liverpool.
"The fans are brilliant at Turf Moor, they always stick behind us, never on our backs and are really positive. That feeds into the players.
"Every time we play at home we feel we are going to win, no matter who it is against. That just comes with games and more wins."