WASHINGTON (CNN) -- The Justice Department on Monday cleared the way for its former liaison to the White House, Monica Goodling, to be granted immunity and to testify before a congressional committee investigating the controversial firing of several U.S. attorneys.

In a letter to House Judiciary Committee Chairman John Conyers, D-Mich., the two Justice Department officials leading an internal investigation of the firings said they "will not raise an objection" to granting her immunity from possible prosecution.

Conyers said he would move "expeditiously to apply for the court order so that we can schedule a hearing promptly." Goodling invoked the Fifth Amendment right not to incriminate herself and insisted she would not testify without receiving a grant of immunity.

Existing procedures allow the Justice Department to inform Conyers and the U.S. District Court, which would approve the immunity grant, whether they believe it would interfere in a Justice Department investigation.

In their letter, Inspector General Glenn Fine and H. Marshall Jarrett, head of the Office of Professional Responsibility, who are jointly investigating the role of Goodling and other Justice Department officials, said they understand the need for Goodling's testimony.