According to reports in the Spanish media, Webber was set to replace a struggling Felipe Massa on a one-year deal at Ferrari in 2013.
Webber has floated on and off Ferrari''s radar over the years, is out of contract at Red Bull next year, but wants to remain in a competitive team.
Young Mexican Sergio Perez, who has impressed for the Sauber team, whose engine is designed by Ferrari, has been strongly linked with a drive at Ferrari.
“Sergio was flavour of the month last week for the Ferrari drive; now it''s me!" the Fox Sports quoted Webber, as saying.
“I''m focusing 100 per cent on this season and doing the best job for myself and Red Bull Racing. I''m not putting any energy into anything else,” he added.
Webber sits third on the world championship standings following four, fourth-placed finishes during a topsy-turvy start to the season for the rest of the paddock.