Lerner, an IRS officials who oversaw the agency's tax-exemption operations, refused to testify before Congress and is on leave.
The bill comes in response to Lois Lerner, the IRS official who invoked her Fifth Amendment right against self-incrimination.
The Democratic congressman said the interview "debunks conspiracy theories" about the IRS targeting controversy.
Most services will be unavailable as tax agency carries out second sequestration-caused furlough day.
The Republican congressman said Wednesday that talks with IRS employees showed the effort "didn't originate in Cincinnati."
Key Republicans on the House oversight committee criticized the panel's top Democrat for suggesting lawmakers should move on from the controversy.
The agency announced the move in an internal memo on Monday.
Transcripts from a congressional investigation provide more details about the genesis of the agency's targeting efforts.
The Federal Eye sheds light on tenuous claims relating to the IRS targeting campaign.
Tuesday's congressional hearing will feature testimony from groups the IRS targeted for special scrutiny.