At Ankeny, he competed in basketball until his senior year, when he became a football player and earned a football scholarship. At Drake, he was a highly regarded tight end, after converting from wide receiver as a senior, who slipped to the 106th pick in the 1983 NFL Draft after suffering a knee injury while skiing in early 1983. On September 13, 1980 he had 142 yards and six receptions for two touchdowns against Ball State. Dunsmore, was part of a historic era for Drake Bulldogs football including the nearly undefeated 1981 Drake Bulldogs football team. The team's 7-0 start was the school's first in 37 years, which caused Sports Illustrated to do a feature on the team. Then, he was part of the Bears 1983 Draft class with Jimbo Covert, Willie Gault, Mike Richardson, Dave Duerson, Tom Thayer, Richard Dent and Mark Bortz.
Professional career
He played all 16 games for the 1983 Bears, making 8 receptions for 102 yards. He was placed on injured reserve on August 30, 1984 and taken off of injured reserve on September 29, 1984. He then played in 11 regular season games for the 1984 Bears, totaling 9 receptions for 106 yards and a touchdown. He caught a 19-yard touchdown pass from Walter Payton in the 1984-85 NFL playoffs on December 30 against the Washington Redskins, but was on injured reserve during the 1985 Bears Super Bowl XX season. The 23-19 victory at RFK Stadium was the team's first playoff victory since 1963. The play occurred two minutes before the half when Payton took a pitch from Steve Fuller and threw the pass, giving the Bears a 10-3 halftime lead. Dunsmore was able to play with the 1986 Bears in the preseason. In a late preseason game against the St. Louis Cardinals, Dunsmore came to the aid of teammate Keith Van Horne during a bench-clearing brawl. Dunsmore and Van Horne were pinned against the wall behind the Cardinals bench. Dunsmore was trampled, kicked and punched by Charlie Baker, Ottis Anderson and Earnest Gray on national television. Dunsmore was among the last four players cut when the team cut to the 45-man roster limit a little over a week later. The following week, when fines were announced by the NFL, Otis Wilson expressed his disbelief "... Dunsmore got fined? He almost got killed."
