Will Smith -- Returns to Rap with AWESOME New SUMMERTIME Remix

We guarantee Will Smith is about to make your head bob, because he's re-recorded the magical words -- "Here it is the groove slightly transformed" ... yes, it's for a remix of "Summertime."

TMZ obtained a snippet of Big Willie's return to the rap game -- one minute and ten seconds of awesomeness that he laid down to intro "Summertime 3" ... a new mixtape by DJ Jazzy Jeff and Mick Boogie.

The track will be available for download on June 11.

We're told Will the Fresh Prince was amped to record the all new, smoothed out version of the 1991 classic. He and Jeff are still tight even though they haven't done a CD together since 1993.