Story highlights Former national security adviser Michael Flynn announced Monday he's pleading the Fifth

Sen. Mark Warner said Tuesday that might not apply to his documents

Washington (CNN) The leaders of the Senate Russia investigation said Tuesday they will continue to pursue critical documents from former national security adviser Michael Flynn, issuing two additional subpoenas to a pair of businesses Flynn ran.

Senate Intelligence Chairman Richard Burr and Sen. Mark Warner, the top Democrat on the panel, told reporters they did not believe Flynn could seek Fifth Amendment protections in regard to the documents they requested, and were seeking a firm answer. The committee is leaving open the possibility to filing contempt charges against Flynn later if he refuses to comply.

Burr said Tuesday that "all options are on the table" if Flynn doesn't comply -- including possibly holding him in contempt of Congress -- but he added that was a long way off from where they are now.

A source close to Flynn told CNN Wednesday that the new subpoenas target Flynn's LLC and a Flynn corporation. The source said the new request is significantly narrower than the first request the committee made for his personal records, which Flynn refused to comply with, invoking the Fifth instead.

Flynn is weighing next steps before deciding on what action he wants to take before the May 30 deadline.

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