The brickworks is the oldest and smallest plant within the group producing 2 million bricks last year.
The plant contributed turnover of £1.5m and produced a loss on operations of £372,000.
Michelmersh chairman Eric Gadsden said: “The Board continues to seek operating efficiencies.
“Trading results for the first quarter of 2013 show that, whilst volumes in the UK brick industry as a whole have fallen by 8.5%, the Group has increased despatch volumes over the same period in 2012 by 3%.
“The Company has also maintained its selling prices, while the UK brick industry has reported falling average prices.
“In the context of extended periods of cold weather, difficult construction industry conditions, and fewer trading days compared with the equivalent period last year, the Group’s performance in the year to date is encouraging.”
Dunton stands on a 26 acre site which has planning consent for landfill to a capacity of 550,000 tonnes.
The Board is “currently evaluating the options for the site.”