The two teams have not faced off since 1964.
Lambeau Field will host in 2020, Soldier Field in 2021.
The University of Wisconsin played in Green Bay past year, defeating 5th-ranked LSU at Lambeau Field in the season opener.
Wisconsin's Athletic Director Barry Alvarez, Notre Dame's Vice President Jack Swarbrick and Athletic Director James E. Rohr, Mike Kelly of the Chicago Park District and Packer's President and CEO Mark Murphy will all be in attendance.
Moon to meet top U.S. military officer amid rising tension on peninsula
After his South Korea visit, Dunford is expected to travel to China and Japan as part of his Northeast Asia tour. He said the US has a "pretty good idea" of North Korea's intentions, but Pompeo declined to provide specifics.
The Fighting Irish are 10-0-2 all-time at Soldier Field, with their last game there being a 41-3 demolition of the University of Miami in 2012.
It will be Wisconsin's first trip to Soldier Field since 2011, when the Badgers demolished Northern Illinois behind Russell Wilson and company.
Notre Dame and Wisconsin will make it official Monday during a news conference at the Under Armour store on Michigan Avenue in Chicago: Their football series is on.
There are no exact dates for Wisconsin and Notre Dame's meetings, but it is likely it will be an early season matchup given previous clashes between Notre Dame and Big Ten teams.