A recent council report, published ahead of the meeting, said the trust was proposing to start work this year on repairing the external structure, roof and chimneys.
It also wants to carry out internal repairs to walls, floors, windows and doors, as well as adding French doors at the rear.
The council said the repair work would allow the removal of the scaffolding.
The trust previously said it was looking to work with the council and local groups to explore options for the future of the building so it can benefit the community.
On Thursday, the government announced historic buildings and sites across England, including four in the West Midlands, would receive grants for repairs.
The Golden Lion project received £344,265.