Just for the record, House Dems appear opposed. Obama floated the idea last week and The Hill reported on the Dem reaction:

House Democrats are rejecting an idea floated by the Obama administration to freeze or cut discretionary spending in 2011.
Key members of the House Appropriations and Budget committees told The Hill this month they would not go along with alternative spending plans being requested by White House Budget Director Peter Orszag, which are part of the administration’s plan to reduce the deficit.
Orszag last year instructed every executive department to prepare three budget requests: one that matches the 2011 spending levels set by the president in his initial budget proposal from early last year; another that would freeze discretionary spending; and a third that reduces spending by 5 percent.
But the Democrats warn that cutting or freezing spending at this point might further damage the economy. The White House should focus instead on spending government dollars to help the economy recover and bring the unemployment rate down from 10 percent, they said.
“We cannot invite a W-shaped recession, or an M-shaped recession,” said Rep. John Olver (D-Mass.), the chairman of the House Appropriations subcommittee for the departments of Transportation and Housing and Urban Development, when asked by The Hill about a spending freeze.
White House aides have said President Barack Obama will address the deficit, which hit a record $1.4 trillion in 2009 and is expected to average $1 trillion over the next decade, in his Jan. 27 State of the Union address and 2011 budget plan.