Los Angeles Clippers coach Tyronn Lue urged his team to "take care of business" by capitalising on home-court advantage as they seek to overturn a 2-0 deficit to the Phoenix Suns in the Western Conference Finals.

Deandre Ayton's dunk with less than one second to play gave the Suns a stunning 104-103 victory on Tuesday, leaving the Clippers to play catch-up.

Ayton caught a lobbed inbounds pass from Jae Crowder over the rim and slammed it home to seal the triumph, with Paul George failing to get off a buzzer-beating shot as the Clippers endured an agonising loss.

However, Lue refused to be downbeat as he was left to lament fine margins, with the Clippers coach now looking to put things right back in LA on Thursday.

"We fought well, we played well," said Lue.

"We had a chance to win the game. They won a tip-in and now we've got to go home and take care of business.

"They won two games on their home floor. We understand that. We've been in this position before, even though we hate it.

"Like I said, our guys fought and competed, but they made a big play at the end."