"Conditions at the moment are not so, that we would enter a team for next year," Red Bull team owner Dietrich Mateschitz, at the Spanish grand prix this weekend, said in an interview that will be published by Austria's Salzburger Nachrichten newspaper on Monday.
The billionaire suggested that the other "manufacturer teams" will also not take part. "Of the teams now, only two or three will remain," Mateschitz added.
The big-spending teams are furious that they have been pushed into a corner to accept Max Mosley's vision for a 40m pounds sterling spending limit next year. However, McLaren team boss Martin Whitmarsh said after a two-hour meeting of the FOTA teams on Sunday that public threats about not meeting the deadline are "not helpful".
The FIA's deadline for 2010 entries is May 29.
It is expected that, depending on the outcome of a meeting with Mosley in London next week, FOTA could announce a sweeping boycott of the May 29 deadline.