Managers at three community hospitals owned by Steward Health Care System have notified representatives of Local 1199 of the Service Employees International Union that they plan to eliminate up to 35 service and technical jobs, union leaders said Wednesday.

They said Steward officials alerted them of its intention to cut 15 union jobs at Norwood Hospital, 12 at Carney Hospital in Dorchester, and seven or eight at Morton Hospital in Taunton. Because the union is proposing alternatives and other members have “bumping rights,” Local 1199 officials said they expect fewer than 35 members will lose their jobs.