"When people say we are not going to get the $20 billion, they sort of miss the point," said one Democratic lawmaker.
Such a move had been recommended by a number of influential Democratic lawmakers.
He is also one of the few Democratic lawmakers who was able to help deliver extra dollars for his district.
But several Democratic lawmakers said they would still press for more money.
Democratic lawmakers have often discussed using some of the money to help the uninsured.
Whatever the figure, the practice has alarmed Democratic lawmakers and advocates for the poor.
Democratic lawmakers agreed that the deal had improved the situation.
Democratic lawmakers are sure to try to cut the military budget further to allow more money for domestic spending.
Democratic lawmakers have also stepped up their attacks on the plan.
In recent days, criticism began to rise from Democratic lawmakers.