"I do have concerns," Rep. Ed Case of Hawaii, who helps lead a coalition of conservative Democrats known as the Blue Dogs, told CNN when asked about Pelosi's strategy. "I think that ... a bill that can actually pass Congress and get to the President's desk -- I want to pass that. And so I want to strike while the iron is hot." Asked if he was concerned that effectively tying the two together could kill both efforts, he said: "I am concerned about that." Rep. Abigail Spanberger, another co-chair of the coalition, who hails from a swing Virginia district, said in an interview: "I think it'd be incredibly disappointing if there's a bill from the Senate, waiting for our action, and we choose to delay it arbitrarily." "My hope is that we will move this bill as expediently as we can, when we get it," Spanberger said, adding that "what I want to see happen is that when there is a bill that can get bipartisan support, that can pass out of the Senate, that will meaningfully impact our communities and our country, and bring jobs for Americans, we should take that vote as quickly as possible."