"His doctor said he gets all ‘As' and his prognosis is good," said Mark's wife, Valerie Simpson. " There was no indication that the cancer had spread."
Results from the pathology tests will be known in the next three days.
"Then we'll know for sure, but things look real promising," Valerie Simpson said.
Simpson has been men's head golf coach since 1977. He had undergone four rounds of chemotherapy prior to the surgery. The therapy had shrunk the cancerous cells significantly.
Simpson will remain hospitalized for four-to-seven days and then get about a week of bed rest at home before returning to coach the Buffaloes in the Big 12 Championships at the end of the month in Houston. In his 28th season coaching the Buffs, he has presided over 417 events, fifth most in school history.