The garden centre is part of Concrete Products (Lincoln) 1980 Limited.
A company representative said: "We can confirm that The Living Garden Centre is currently offered for sale but as yet there has been no interest.
"This is obviously disappointing and as we enter the winter season, which sees a downturn in trade, the difficult decision has been made to close the garden centre.
"Unfortunately this will result in the loss of 12 jobs.
"Concrete Products (Lincoln) 1980 Limited also operates two other trading divisions, Livingstone and Amortec.
"Both of these businesses are currently being offered for sale and negotiations are currently in progress with respect to them.
"A closing down sale is being held at the garden centre and it is anticipated that it will close on November 5, 2013."