Cardin also said federal workers shouldn't suffer from the actions of Republicans, who he blamed for the shutdown.
Cardin said federal workers have already suffered enough, after being hit by a pay freeze that has forced these workers to help reduce the deficit by $90 billion.
"On top of the pay freeze, hundreds of thousands of Federal workers have been furloughed because of sequestration," he added. "Their pay hasn't just been frozen; it has been cut."
The bill was introduced during the first day of the government shutdown — that shutdown was expected to continue for at least two days, as House Republicans had made no sign of agreeing to a continuing spending resolution without language that somehow undermines ObamaCare.
Similarly, Senate Democrats indicated they would continue to oppose any solution other than a "clean" spending resolution.
On Monday, a group of House Republicans and Democrats proposed a bill that would ensure pay for workers affected by the shutdown. The three Republicans on that bill are from Virginia, where thousands of affected government workers live.