Iowa athletic director Gary Barta and Shawn Eichorst, his counterpart at Nebraska, will ask the Big Ten to honor their request when an administrative council meets later next month.
The Hawkeyes and Huskers are currently slated to meet on the Saturday after Thanksgiving in 2013 and 2014, but they want to push those matchups up a day.
Iowa is set to travel to Lincoln this fall, with Nebraska playing in Iowa City in 2014.
The border schools began their annual series when the Huskers joined the Big Ten for the 2011 season. Nebraska has won each of the last two meetings.