The former Notre Dame standout admitted he failed to file tax returns from 2006 through 2009 during a time when he had earnings of more than $1 million.
Zorich, 44, faces up to 16 months in federal prison, but his attorney said would request U.S. Magistrate Judge Daniel Martin order probation, the Chicago Tribune reported.
Federal prosecutors said Zorich, a lawyer, was paid $3,000 a month rent from the charitable foundation he founded, was paid by a law firm, received compensation for personal appearances and received deferred compensation from the Bears.
Zorich signed a consent decree with the Illinois attorney general's office last year to repay nearly $350,000 to the Chris Zorich Charitable Foundation he founded and he was barred from taking a leading role in any charity in the state.
Sentencing was set for July 12.