"We would have preferred something quite different, but we do recognize the value of coming to a decision so that we can go forward with some clarity on other legislation that we want to see," Pelosi, D-Calif., said, citing closing tax and immigration reform as two legislative priorities she would have preferred to include in the package.
The vote later this week will rely heavily on Democratic support, but some key members expressed a reluctance to support it.
Rep. Nita Lowey, the top Democrat on the Appropriations committee, criticized the agreement for cutting Medicare while also excluding an extension to unemployment benefits. Still, she admitted the deal could have been worse.
"It is absolutely outrageous that we should leave this Congress and go home for the holidays when too many people -- over a million people will not be getting their unemployment benefits," Lowey, D-N.Y., said. "But I think this is the best that we can do at this point."
The House of Representatives is expected to conclude its business for the year Friday.
ABC News' Alex Lazar contributed to this report