Fury will take on the German, who has won all 24 of his fights, on June 15 at the Thomas & Mack Centre, boxing management company MTK Global said.
Fury and Wilder could not negotiate an immediate rematch, with the Brit signing a multi-year, multi-fight agreement with United States broadcaster ESPN and promoted by Top Rank's Bob Arum alongside Frank Warren.
Fury said he was excited to be returning to America after overcoming two knockdowns in a controversial draw against WBC heavyweight champion Wilder in Los Angeles last year.
"I'm really looking forward to it as it will be my first time in Las Vegas," the 30-year-old said.
"When you start boxing as a little kid, you dream of going to America and cracking it. In my last fight I did that with Wilder, and now I'm going back and will be seen by a lot of people around the world."
"I'm very fit and ready, so I can't wait. Tom Schwarz is a young, fresh and ambitious fighter, but I'm going to put on a good show as usual."
In an earlier interview, Top Rank boss Bob Arum told World Boxing News they wanted to "get a guy who hadn't tasted a loss".
"Tyson is such a big, big guy, we didn't want to put him in with a small guy and Schwarz is a big, big guy. It will make a really compelling fight," he said.
"He was quite willing to take the fight. The terms were negotiated and the idea that he wanted to and is able to fight Tyson Fury. This was never in doubt."
Arum is hopeful a deal can be arranged for Fury to fight Wilder again in early 2020.
"Assuming he (Fury) wins this fight, he'll have another appearance in the United States," Arum added.
"Then hopefully next year in February he'll end up fighting Wilder."
The Schwarz fight will be broadcast on BT Sport in the UK.
