The development came after the Tribunal said yesterday that it was no longer opposing Mr Redmond appeal.
Mr Redmond, who was in court, had appealed against a 2012 High Court order granting the Tribunal’s bid to halt his action challenging the findings of corruption made in the tribunal’s third interim report of 2004.
That action was initiated in 2005 and the High Court accepted the Tribunal’s arguments it was prejudiced due to inordinate and inexcusable delay in advancing it.
The Tribunal cross-appealed other aspects of that High Court decision allowing Mr Redmond continue with his challenge to the Tribunal findings that he hindered and obstructed it and consequently was not entitled to costs.
The developments yesterday came after exchanges between Patricia Dillon SC, for the Tribunal, and the five-judge Supreme Court on issues arising from an April 2010 Supreme Court finding in proceedings taken against the Tribunal by Joseph Murphy Structural Engineers.
When the appeal resumed yesterday, Ms Dillon said she was instructed to say the Tribunal was not opposing Mr Redmond’s appeal and would pay his costs in the High and Supreme Courts in that regard.
The Tribunal was also withdrawing its own cross-appeal, counsel said.
The Chief Justice, Ms Justice Susan Denham, noting that the main case dates back to 2005, said it should be got to soon.