Riddell is to go ahead, Cabinet Secretary Richard Lochhead has confirmed.
In this controversial case, Lord Gill ruled that a law put in place to protect Scottish tenant farmers in 2003 was not compliant with the European Convention of Human Rights, and the tenant Mr Riddell, who has since tragically died, was put out of Peaston Farm, Ormiston, East Lothian, where his family had held a tenancy for more than a century.
No date has been set for this new appeal hearing, but it is understood that it should take place in the early part of the summer, with a decision before the end of 2013.
Scottish Tenant Farmers Association chairman Angus McCall said: "Reports in the press last October cast doubts whether the Scottish Government was going to continue with its challenge to the Court's decision, creating continuing uncertainly for tenant farmers in this position.
"There are still about 500 limited partnership tenancies remaining, some of which are subject to a notice to quit served back in 2003 and it is vitally important that the position of these tenants is clarified as soon as possible so they can plan for the future," said Mr McCall.