Wilson, a 34-year-old right-hander, was the Reds' Opening Day starter two years ago, coming off an 11-6 record in 2004. He was 1-5 with a 7.77 ERA in 2005 before the surgery.
He had only four Minor League appearances last year and had been ineffective in most of his appearances this Spring Training.
The No. 1 pick by the Mets in the 1994 First-Year Player Draft, Wilson has gone 40-58 with a 4.86 ERA in his Major League career.