Baab was selected by the Cleveland Browns in the 5th round of the
1982 NFL draft, the 115th overall pick. He played for the Browns from 1982 to 1987 and helped them to reach back to back AFC Championships in 1987 and 1988. After the 1987–88 season he was traded to the
New England Patriots for a 5th round draft choice in the 1989 draft (which Cleveland traded to Green Bay as part of a multi-pick deal to get
Lawyer Tillman). He played with the Patriots for two seasons. He became a free agent and was re-signed by the Browns three times playing with them from 1990 to 1992 before being released by the Browns at the start of training came in 1992. He was signed by the
Kansas City Chiefs late in the 1992 season, became a free agent after the season and was not resigned. He finished his career having played in 148 games, with 138 starts, 1 carry and 2 fumbles. == Personal life ==