(CNN) An outspoken bloc of House conservatives continues to call on President Donald Trump to declassify materials related to the Russia investigation as soon as this week, but their latest effort could backfire if it fails to confirm their allegations of serious misconduct, according to several current and former US officials.

Republicans who are pushing hard for the public release of the documents flatly acknowledge they are not sure whether the move will help or hurt their arguments about improper conduct in the Russia investigation.

"We don't know, which is why we need to see them," said Rep. Jim Jordan, a member of the House Freedom Caucus and a leading critic of the Russia probe, when asked what he believes the documents will show. "Transparency is a good thing, and the American people need to know what's in there."

For months, Trump's allies on Capitol Hill have championed the narrative that the Justice Department and FBI wrongfully obtained a surveillance order on Trump foreign policy aide Carter Page under the Foreign Intelligence Surveillance Act, and their main argument focused on the memos of salacious material authored by ex-British intelligence agent Christopher Steele, who they say harbored anti-Trump bias they claim was not fully disclosed in the FISA application or its renewals.

The FBI released redacted versions of the FISA warrant applications in July, prompting calls by some Republicans for declassification they believe would help them make their case publicly that the warrant was inappropriately obtained. The redacted FISA application showed that the FBI raised concerns that Page was the subject of Russian recruitment and might have been working with the Kremlin, allegations Page has denied. And in a footnote, it did disclose a political motivation behind the Steele dossier, specifically saying that the person behind it was likely looking for information to discredit Trump's campaign.

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