L.A. Clippers Player -- Courting Jack Nicholson ... 'Come to Our Side!'

Could Jack Nicholson quit on the Lakers completely ... and become a Clippers fan?!

That's what Clippers prodigy Austin Rivers is hoping for ... especially with Jack telling TMZ Sports this week that he's not as obsessed with the Lake Show as he used to be.

Rivers -- the son of Clippers president/coach Doc Rivers -- was out in L.A. and told us, "I'm trying to get him over on our side man!"

Here's the thing ... we already know Jack has pro-Clippers tendencies ... he went to a Clippers playoff game last season. And they definitely have a brighter future than the Lakers.

Plus, Jack already knows his way around the stadium ... since the Clips and the Lakers both play in the Staples Center.

Jeanie Buss ... it might be time to panic.