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L.A. Dodgers legend Tommy Lasorda sat front row for a smokin' hot burlesque show at an L.A. blues club Thursday night ... but he wasn't gettin' off ... he was nodding off.

It all went down at Harvelle's Blues Club in Santa Monica ... where a dancer named Miss Dakota set the stage on fire in front of Tommy and several of his friends.

We're told Tommy's wife was not at the club -- but she had nothing to worry about because Lasorda was more interested in talking with his friends and taking the occasional nap than ogling the talent.

Tommy hasn't let his age keep him from hitting the club scene -- the 87-year-old hit up Bootsy Bellows nightclub on the Sunset Strip back in April.

#legend