The site was put up for sale in the summer of 2015.
A borough council spokesman said this morning: "An offer has been made for the site. A period of due diligence will now take place before contracts can be signed. It is likely to be the end of the year before a sale could be completed."
Chesterfield Liberal Democrats previously handed in a 1,000-name petition addressing concerns about the proposed sale, triggering a borough council debate.
Without the facility, residents fear congestion would worsen on roads in the area while businesses are concerned they could lose trade.