Wyman was selected by Seattle in the second round of the 1987 NFL Draft. Over 61 games with the Seahawks, Wyman totaled 364 tackles, 3.5 sacks, and two interceptions. He later spent three seasons with the Denver Broncos to round out his NFL career. Wyman remains closely connected to the Seahawks, serving as a radio analyst for the Seahawks Radio Network, where he continues to contribute his insights into the team that drafted him.