(CNN)Senate Democrats will try to block action on a Syria sanctions bill when it comes up for a vote Tuesday, an effort to keep the focus on the government shutdown.

Democrats also will discuss at their weekly policy lunch Wednesday whether to broaden that blocking tactic to all legislation, according to a senior Democratic aide.

A separate senior Democratic aide said Senate Minority Leader Chuck Schumer "has notified the (Democratic) caucus that he will vote against proceeding to S.1 because Senate Republicans should instead bring to the floor the House-passed bills to reopen the government."

Over the weekend, the two Democratic senators from Maryland -- Ben Cardin and Chris Van Hollen -- who represent thousands of furloughed federal government workers, first publicly raised the idea of blocking bills on the floor to raise the political stakes on President Donald Trump and Senate Majority Leader Mitch McConnell, who is refusing to put any government funding bills on the floor unless Trump supports them.