They are the minority in the Senate then and now. There's literally nothing to be done unles enough Repubs join them to leave the Senate without the required quorum.
Anyway, I don't think the seat will be filled before the lame duck period, in an atempt to electorally protect endangered Repub senators.
Ah, I hadn't read into it and was hopeful that the system required both houses of congress. Sigh. Well here's hoping they can't get somethin together before the election.