The Senate is to vote on the budget proposal on Friday, after it passed the House of Representatives with a narrow margin.
However, in the Senate, support from at least seven Democrats is required to avoid a shutdown.
It is unclear how the rest of the Democratic members will position themselves, many have said they are willing to risk a shutdown.
Trump has taken a wrecking ball to our country and wielded chaos as a weapon, said Schumer on Thursday local time, about the president's cuts to the government apparatus.
For Donald Trump, a shutdown would be a gift. It would be the best distraction he can get for his appalling agenda.