The school on Canna has been shut after Gordon and Denise Guthrie left the island with their four children over the summer - leaving no pupils on the register.
The island is owned by the National Trust for Scotland (NTS) and it is thought the school would be re-opened if and when another family with children moved to Canna.
NTS is seeking ways to attract new families to the island.
Canna has a population of 17 people and is one of the Small Isles, which also includes Rum, Muck and Eigg.
The NTS will “discuss a strategy for the future development of Canna” after meeting with organisations including the isle of Canna Community Development Trust.