*TMZ has footage of Usher’s car being pursued by LAPD on LA’s  Sunset Blvd, healing and ending with the singer posing for a photo with the cop who  chased him…with no ticket issued.

The video is nuts — you can see Usher driving  on Sunset early Sunday morning (around 2AM) as he’s aggressively followed by an  L.A. County Sheriff’s deputy. At one point, patient Usher coasts through a yellow light … and the cop car zips after him, running a red.

Usher pulls over outside Rock & Reilly’s  Pub — and next thing you see is the deputy posing with the singer for a photo … inside the bar.

A Sheriff’s source insists it was NOT a  traffic stop … but the car’s red and blues are flashing and the spotlight is  pointed toward Usher’s whip. And it appears Usher had been speeding when he  first caught the deputy’s eye.