McConkey had completed his mandatory five years in the U.S. Navy as an officer and helicopter pilot when he decided to try to play professional football at age 27. He weighed barely 160 pounds and hadn't played football in five years. The first person he approached was Steve Belichick, Navy's backfield coach and scout, who timed him at a speedy 4.4 seconds in the 40-yard dash. Belichick then contacted his son,
Bill Belichick, who had just been elevated to defensive coordinator of the New York Giants under head coach
Bill Parcells. In his six NFL seasons, McConkey was used as a reserve receiver, and frequently returned punts and kickoffs on special teams. His best statistical season was 1985, when he caught 25 passes for 404 yards, returned 53 punts for 442 yards, and gained 234 yards returning kickoffs. After two seasons with the Giants, in 1986 he was released and signed with the Green Bay Packers. He played four games with the Packers in 1986, then was re-signed by the Giants for the season's last 12 games. In those 12 games, he caught 16 passes for 279 yards and one touchdown, plus he was a punt returner and kick returner. McConkey is best remembered for his performance in
Super Bowl XXI after
the Giants' 1986 season, which the Giants won 39–20 over the
Denver Broncos. In the game, his 25-yard punt return set up a Giants field goal. On the team's next drive, his 44-yard reception on a
flea flicker play gave the Giants a first down on Denver's one-yard line, setting up a touchdown on the next play. In the fourth quarter, McConkey caught a six-yard touchdown reception after the pass bounced off the fingertips of tight end
Mark Bavaro. Overall, McConkey contributed 50 receiving yards, 25 punt return yards, and one touchdown in the Giants victory. He also caught a 28-yard touchdown pass in New York's divisional playoff win over the
San Francisco 49ers a few weeks earlier. While running off the field during the celebration following the victory in Super Bowl XXI, McConkey spotted a handgun on the field. He picked up the weapon, which was subsequently taken by a security officer, who in turn returned it to the police officer who was unaware it was missing. The officer had lost the weapon while struggling with a fan who had jumped onto the field. He played for the Giants for two more seasons as the team's primary punt returner and reserve wide receiver. His final NFL season was 1989 for both the San Diego Chargers and Arizona Cardinals. McConkey finished his six NFL seasons with a
Super Bowl ring, 67 receptions for 1,113 yards and two touchdowns, 228 punt returns for 1,832 yards, and 69 kickoff returns for 1,324 yards in 84 games. ==Political life==