Ecclestone was quoted as saying, "All the teams that have talked to me about it say they are very happy with Pirelli".
At the height of the new Michelin rumours ahead of the Belgian Grand Prix, the sport's chief executive admitted the French marque "do want to get back in".
"But we have had contracts with Pirelli for some time," he told Germany's Auto Motor und Sport.
Ecclestone was referring not only to Pirelli's 2014 contracts with the organisation he leads - Formula One Management (FOM) - but also the vast bulk of the teams.
But what about the crucial final contract, between Pirelli and F1's governing body, the Jean Todt-led FIA?
"They (the FIA) have nothing to do with the commercial side," Ecclestone is now quoted by Brazil's O Estado de S.Paulo newspaper.
"They are the regulators, checking that the rules are being observed," he added.
Ecclestone also played down suggestions the Michelin story is being powered by Frenchman Todt, the FIA president.
"But as it's not a matter subject to the World Council, it doesn't make much difference anyway," added Ecclestone.
Austria's APA news agency also quoted Ecclestone as saying "All the teams that have talked to me about it say they are very happy with Pirelli".