A talented offensive centre, Jensen was one of the most highly regarded high school players in the U.S. during the early 1980s. He played for a short time with the Hartford Whalers and Washington Capitals before ending his career in the minors and Europe.
The native of Newton, Massachusetts attracted plenty of attention after scoring 89 points in 25 games for Lawrence Academy in 1982-83. After that season he was Hartford's second pick, 20th overall, at the NHL Entry Draft. Jensen played the 1983-84 season with the U.S. national team and scored 78 points in 61 games. During the Sarajevo Olympics he formed the effective "Diaper Line" with future NHL stars Pat Lafontaine and Ed Olczyk and finished third in team scoring.
Jensen played 13 NHL contests with the Whalers in 1984-85 but spent most of his time with Binghamton in the AHL. Late in the season he was traded to the Washington Capitals for offensive forward Dean Evason and goalie Peter Sidorkiewicz.
In 1985-86, Jensen scored 16 points in 46 games but fell out of favour the next season. He spent the majority of his last four years as a pro in the AHL but did sign with the Italian club Cortina d'Ampezzo in 1990. The European game suited Jensen's talent as he scored 45 points in 35 games but he longed for home and retired in 1991.