New signing Chris Wood went close for an equaliser for Leeds soon after, while Uth also threatened a second for Hoffenheim when his curling effort grazed the crossbar.
It was Leeds who scored the second goal of the match, though, when another new recruit, Tom Adeyemi, on his first start of pre-season, swept home from close range.
After half time Hoffenheim looked more threatening, and their pressure told midway through the second period when Steven Zuber scrambled home.
Mirco Antenucci went closest to a second equaliser for the Whites, but they couldn't peg the German side back and now return home ahead of next Saturday's friendly with Everton.