Here, No Time for Talkin’ by the Trombones Unlimited. Also, years ago, the theme for Astronaut Jones on SNL (played by Tracy Morgan).

A quick perusal of YouTube will uncover many Trombones Unlimited albums recorded for Liberty Records. The trombonist and arranger Mike Barone was apparently the leader/instigator for these recordings, which often feature pop tunes and a model on the cover art. All were recorded around 1968. Bob Edmondson, who also played with Herb Alpert, was the original co-trombonist for the first outing, followed by Frank Rosolino for the others. The rhythm section appears to be none other than the Wrecking Crew!