Stonum, who has one year of eligibility left, missed last season because of disciplinary issues.
He made the made the announcement on his Twitter account. Baylor has yet to confirm he is part of its football roster.
The Stafford, Texas, native was dismissed from the team prior to last season after his second drunken driving arrest and then violating his probation in 2010. He is expected to be eligible at Baylor as a graduate student in a program not offered at Michigan.
Stonum has 76 career catches for 1,008 yards and six touchdowns at Michigan. He broke the school's single-season kickoff-return yardage record in 2009 with 1,001 yards.