Morris set Michigan's all-time rushing records, yet his smaller stature (5 feet, 7 inches) led to a fourth round draft pick during the 1988 NFL Draft by the Washington Redskins. He played three seasons from 1988-1990. His best year was 1988 when he played in all 16 games for the Redskins, and rushed for 437 yards in 126 attempts. During his career, Morris twice rushed for at least 100 yards in a game. Morris also set the NFL record for the most rushing attempts in a game with 45, in a December 17, 1988 game against the Cincinnati Bengals. The Redskins' web site describes Morris' record-setting performance as follows: "On the morning of Dec. 17, the Redskins had a 7-8 record coming into the season finale at Cincinnati. ... With no hope of returning to the playoffs, the Redskins gave Morris what amounted to an audition for the starting job in 1989. With only 81 carries and 285 yards for the season, the 5-7, 195-pound running back was ready for the challenge. Not only did he carry the ball a record number of times, he gained 152 yards, didn't fumble, and had the Redskins on the brink of victory in a game in which not many experts gave them a chance." Despite the good showing, Morris did not win a starting job in 1989, gaining 336 yards in 124 carries for a 2.7 yard average. Morris' NFL career came to an end in 1990, when he gained only four yards in two carries for the Redskins.