Federal officials and the oil giant have been working to streamline the process, which has already paid out about $62 million on more than 26,000 claims, about half of all claims filed, according to BP estimates. BP agreed last week to speed up its claims processing. BP has spent more than $1.6 billion on all aspects of the spill, from containment to cleanup and the drilling of relief wells.
President Barack Obama is scheduled to meet with BP CED Tony Hayward and Carl-Henric Svanberg, BP's chairman of the board, on Wednesday at the White House. It's the first meeting of all the leaders involved in the spill.
The president will either legally compel BP or reach an agreement on the claims process, Gibbs said Tuesday.
Obama will address the nation at 8 p.m. tonight from the Oval Office.