He has asked the judge to issue an emergency order to pause the congressional proceedings and to quash the subpoena.
In a tweet Thursday, House Judiciary Committee Chairman Bob Goodlatte, R-Virginia, called Comey's lawsuit "baseless".
Comey is expected to be asked about actions taken by the Federal Bureau of Investigation in 2016, including a decision not to recommend criminal charges against Democrat Hillary Clinton for her use of a private email server, as well as the FBI's probe into potential coordination between Russian Federation and Trump's campaign.
Comey pushed back on the subpoena after he received it last month, saying he would be willing to testify in a public setting but did not believe a private interview would be proper.
Comey agreed to sit down for a closed-door deposition Friday.
Comey said Republicans will allow him to speak freely to the public and transcripts will be made available 24 hours after the hearing. "We will release the transcript of his interview to the public as soon as possible after the interview, in the name of our combined desire for transparency".
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The former Porto, Chelsea, Inter Milan and Real Madrid coach has spent £360m since he replaced Louis van Gaal at United in 2016. United were unable to go one better and get the win, however, and they'd drop two valuable points against Southampton .
Democrats have complained that the Republican-led inquiry is a partisan effort to undermine Special Counsel Robert Mueller's investigation into the Russia-related claims.
"That, of course, remains to be seen, it hasn't happened yet, but the counsel for the House and the counsel for Mr. Comey have been working cooperatively and I expect that'll happen", he added. He dropped his legal fight against the subpoena on Sunday, compelling him to testify behind closed doors.
The agreement was reached a day before lawyers were to appear again in court.
Comey argued that he was willing to appear in a public hearing, but feared that a closed-door session would only give Republicans the ability to selectively leak information about his testimony.
Comey also expressed gratitude to U.S. Circuit Court Judge Trevor McFadden, an appointee of President Donald Trump, who is expected to make a formal ruling Monday.
A declaration by the general counsel and parliamentarian for the House Judiciary mafe a case for why Comey's testimony was fair to demand, while also spelling out how Republicans plan to use it to undermine the origins of the Russian Federation probe as well as his decision to end the Clinton email probe during an election year.