Drake -- I'm Down to Make Music With LeBron James

Good news for LeBron James' rap career -- it could be getting some help from Drake ... 'cause the hip hop superstar tells TMZ Sports he's down to collaborate with The King.

Drake was leaving the L.A. premiere of LeBron's new TV show "Survivor's Remorse" (Bron's one of the producers) ... when we asked if he'd ever team up with James, who recently released his very first rap single.

Drizzy didn't exactly say "no" ... and seemed pretty open to bringing James onto a track.

BTW -- it seems LeBron is really taking this Hollywood thing seriously ... the guy rocked a TURTLENECK under his suit Tuesday night ... despite the fact it was 70 DEGREES IN L.A.!!!