 The 1987–88 season was Sweeney's first full year, a season where Boston traveled to the Stanley Cup Finals only to be swept by the Edmonton Oilers.Following six seasons with Boston, Sweeney was claimed off waivers by the Buffalo Sabres in 1992 and then by the New York Islanders in 1995.After being traded to the Calgary Flames during the 1995–96 season Sweeney retired from the NHL.