Nate Diaz Jokes With Jake Paul About New Orleans Choke Out Incident

Nate Diaz clearly ain't sweatin' his criminal case down in Louisiana ... the former UFC star actually had a laugh about it all with Jake Paul on Tuesday.

Paul was the one who brought up the choke-out incident to Diaz during a news conference to hype up their August boxing match ... wondering if the MMA fighter thought he was scrapping with his brother, Logan Paul, when he choked out a guy on Bourbon St. during an April 22 melee.

Diaz smiled and then pretended to truly believe it was Logan who he put to sleep on the popular New Orleans roadway.

"You're going to act like that wasn't Logan?" Nate said with a grin. "Come on, man!"

"You thought it was Logan?" Jake asked again ... before Diaz responded with a giggle, "It is Logan, what are you talking about?"

Of course, the case shouldn't be much of a laughing matter for Diaz ... officials have charged him with second-degree battery after they allege he caused the man to suffer a head wound during the incident. Diaz is now facing time behind bars if ultimately convicted.

Diaz, though, did get serious about it all for at least a few seconds during the presser ... appearing to say he took it easy on the guy by choking him instead of throwing hands.

"You don't want to just hit people out there," Nate said. "That's f****** dangerous. You know what I'm saying? Give him a little nap."

Diaz didn't elaborate on it all further ... but he's been adamant since the incident went down that he did nothing wrong -- and was simply acting in self-defense.