Boehner is under heavy pressure not to yield to Obama on tax issues from tea party and other factions on the right, who will be a formidable force in next year's Republican midterm primaries.
Obama, who doesn't face a next election, has been barnstorming the country warning of calamitous consequences from the automatic cuts and portraying Republicans as unyielding and protective of tax breaks for the wealthy.
But many of the most dire effects of the sequester may not be felt for months, even years.
And congressional Democrats increasingly will be focusing on their own re-elections.
Follow Tom Raum on Twitter: http://www.twitter.com/tomraum