The game will be played on September 24th, one week before the conference home opener against Iowa.
"What I like about the 2011 schedule is that our fans will have the opportunity to see a variety of quality football programs from around the country," head coach Bret Bielema said in a statement.
Following those tilts at Camp Randall, UW will head to Chicago and Soldier Field to take on Northern Illinois as a warm up to the South Dakota game.
"We're also very excited about the chance to play in a historic venue like Soldier Field," Bielema said. "The Big Ten schedule is always tough and we're pleased to have our bye week in the middle of October."
UW has played a team from the FCS in three consecutive seasons (Western Illinois in 2006; The Citadel in 2007; Cal Poly in 2008) and are scheduled to play Wofford in 2009.
It will mark the second meeting ever between the two programs. The last meeting was in 1975 when Wisconsin beat the Coyotes in Madison. That was the largest crowd (65,656) the school has ever played in front of.
"It's another step in the Division I process to be accepted by a Big Ten power like the Wisconsin Badgers," USD head coach Ed Meierkort said in a statement. "For me having coached in a Wisconsin league for 11 years, it's going to be a big thrill."
Former UW athlete and graduate assistant Jake Sprague is an assistant coach for the Coyotes.
The Badgers still have two open dates on their 2010 schedule. UW will open the season at UNLV on Sept. 4, 2010, then host Arizona State two weeks later.