Winston's father, Antonor, told AL.com that his family his expects the reigning Heisman Trophy winner to play two more seasons with the Seminoles.
"We want Jameis to succeed with one more year in baseball and two more years in football," he said. "We've never strayed from our plan that he is going to be in college until he gets that degree."
Winston also previously has said coach Jimbo Fisher was on the money when he said that the star might play two more years of college football.
Winston enjoyed a record-setting season as a redshirt freshman, winning the Heisman while leading the Seminoles to an undefeated season and national championship that he capped with a last-minute touchdown drive against Auburn.
Many NFL draft experts believed Winston would have been a high first-round pick, possibly No. 1 overall, if he were eligible for this year's draft in May. NFL Media draft analyst Gil Brandt, who helped build the Super Bowl-winning Dallas Cowboys as vice president of player personnel from 1960 to 1989, has said Winston has a bright NFL future.
Winston threw for 4,057 yards and 40 touchdowns with 10 touchdowns while adding 219 yards and four scores on the ground.
Despite his accolades on the field, Winston has endured his share of controversy off it.
Winston, 20, was part of a high-profile sexual assault allegation that didn't result in any charges, plus an incident in which he was issued a civil citation after sheriff's deputies say he walked out of a supermarket without paying for $32 worth of crab legs and crawfish. He was briefly suspended from the baseball team for that incident before being reinstated after completing 20 hours of community service.
Winston's father also told AL.com that his son plans to play baseball again next season. He finished his baseball campaign this season with a 1-0 record and team-best 1.08 ERA.
The Associated Press contributed to this report.