Hassett was selected with the 8th pick in the third round (52nd overall) of the 1977 NBA draft by the Seattle SuperSonics.[4] He was part of the Sonics' 1979 NBA championship winning team, but moved on to the Indiana Pacers the following season after being released by the Sonics.[4] In his only year with the Pacers (1979–80) he ranked fourth in the league with 69 three-pointers made.[4] He also played with the Dallas Mavericks and Golden State Warriors, with whom he concluded his NBA career in 1982–83.
Hassett is a member of the New England Basketball Hall of Fame,[4] the Providence College Hall of Fame, the Rhode Island Heritage Hall of Fame, and the Rhode Island Interscholastic League Hall of Fame.[3] He is now an investment advisor[3]/banker[4] and provides color commentary for the Providence Friars basketball team on 103.7 FM radio.[3][4]