The UK's Daily Mail reports Burns - who was widely criticised for his handling of the doomed deal - had the deal sanctioned by then League chairman Keith Harris, who also quit after the League's TV deal collapsed.
The League had signed a £315million ($482m/EUR491m) TV deal with the ITV Digital platform, but when ITV Digital collapsed, it was ruled owners Carlton and Granada were not liable to pay compensation to cover the remaining £178m ($272.39m/EUR277.87m) owed to the League.
It left clubs facing a massive cash shortfall and a new deal signed with Sky saw exclusive live rights sold for just £95m ($145.38m/EUR148.3m) over four years.
Both Burns and Harris resigned over the affair.
