Fulham Palace Garden Centre, owned by the Prince's Trust, closed on 31 August.
The charity owners say they are still reviewing options about the future use of the site with stakeholders. They say the future is unclear for the site, which was to become a Pets at Home until the retailer pulled out this summer.
A Prince's Trust representative said: "The current position re the site has not changed in that the garden centre remains closed and our agents, Colliers International, are welcoming expressions of interest."
Meanwhile, Morden Hall Garden Centre, run by Capital Gardens remains open, but has little stock for sale.
The National Trust is to take over the centre but said it has "no information" on when.
Capital Gardens chief executive Colin Campbell Preston said: "We are still in negotiations with The Trust so don’t have an answer to your question [about when the garden centre will close].