More than 1,000 small-business owners signed a letter to the House calling for legislation.
Lerner directed the improper scrutiny while trying to be viewed as impartial, panel says.
Oversight is unlikely to consider contempt charges against the IRS official this week.
Sen. Marco Rubio (R-Fla.) said Monday he wants to allow businesses to immediately deduct all investments – a sharp contrast with House Ways and Means Chairman Dave Camp (R-Mich.), who has proposed stretching out depreciation schedules.
Rubio plans to offer a bill he says would prevent a United Nations takeover.
The House’s top tax writer is highlighting areas where he thinks there is common ground.
Rep. Dave Camp hailed the move as a "significant step forward" for his investigation.
"She won’t give us the answers? You’ve got to be kidding me," said Rep. Jim Jordan.
Rep. Marcia Fudge said his behavior at the IRS hearing was an "affront" to the public.
House GOP are heading toward a contempt vote against the former IRS official.