Klay Thompson Training To Box With Nonito Donaire

Klay Thompson can fight.

Just ask one of the best boxers in the world -- WBO Junior Featherweight champion Nonito Donaire -- who's training the NBA superstar how to throw dem hands.

TMZ Sports talked to Donaire -- who's fighting Jessie Magdaleno on November 5th -- about footage we obtained showing Klay getting an impromptu training sesh recently at Top Golf in Vegas

It's good news, bad news for Thompson ... who Nonito says has tons of natural athletic ability. So, what needs work? Hint, Klay ain't Mike Tyson ... yet.

Check out the clips!