The authority is considering the procurement of partners to partially design, build, finance, and operate extra care housing at three sites owned by the council.
With an estimated value of £36m, the project would consist of approximately 50-55 apartments per site. Works will take place at Addenbrooke (Gosport), Fernmount (New Milton) and Bulmer House (Petersfield).
Interested parties have until 12 January respond to a market questionnaire, which can be obtained by contacting email@example.com.
The authority expects to issue a contract notice on 2 February.
Earlier this year, Hampshire County Council sought partners for a similar scheme.