The actor, 43, presented the goat to the comedian, 57, during their Rock Hart: Only Headliners Allowed show at New York's Madison Square Garden, with the goat's name making reference to Chris' Oscars altercation with the King Richard star.
In a clip shared to TikTok, Kevin is seen holding the goat by a lead as he remarked: 'What the f**k did you just say?'
Dave Chappelle, 48, who joined the guys during the show, then said: 'Don't act like I'm crazy, you brought the goat here. This n***** [the goat] is confused with the f**k is happening. What you gonna name this goat Chris?'
With Kevin then quickly jumping in to declare: 'The name is Will Smith.'
He explained to Jimmy, 47: 'Chris is a mentor, friend, inspiration. He's a large part of the reason that I am where I am today in my career.
'Just from his advice, his insight, etc. He's my G.O.A.T [greatest of all time], he's my guy. And I wanted him to feel that.'
Watch the clip here