Lee threw for 3,143 yards in 2017 with 23 touchdowns and 16 interceptions in one season as NU's starter after transferring from Tulane.
Rudolph will attend the Senior Bowl to have his measurements taken and to interview with teams with just a couple of months until the 2018 NFL Draft.
Lee, who started his career at Tulane, made a decision to pass up a final year of eligibility at Nebraska to enter the National Football League draft.
The injury is not serious enough to require surgery, but the initial recommendation from doctors was two weeks of rest.
Other quarterbacks who have accepted Senior Bowl invitations are Wyoming's Josh Allen, Virginia's Kurt Benkert, Washington State's Luke Falk, Richmond's Kyle Lauletta, Oklahoma's Baker Mayfield, Troy's Brandon Silvers and Western Kentucky's Mike White.
The Senior Bowl will take place on January 27 at 1:30 p.m. CT at Ladd-Peebles Stadium in Mobile, AL. Official rosters will be announced Thursday. NFL Network will televise the game.
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