Tiberi said he was contacted by a Democratic lawmaker in the Ohio state legislature who the congressman has a "great relationship with."
The IRS publicly apologized earlier this month for applying an additional level of scrutiny to conservative groups applying for tax-exempt status.
The agency said officials in its Cincinnati office had required those groups to answer additional questions before they were approved for 501(c)(4) status. Since then a number of lawmakers have ordered investigations into the agency's conduct. Steve Miller, the acting IRS commissioner, stepped down from his post.
The radio host, who Tiberi did not name, said he was able to tape IRS officials in the Cincinnati office discussing his case.
"So apparently over the last month they had a meeting where he taped the IRS station, who apparently made comments to the effect that he was being targeted because of his talk show," Tiberi continued.
"So I haven't met with him yet. I talked to the congressman who represents the area and we're going to have a phone call today and that is just one of several that have come to our attention in the last week. So I think this has a whole lot of legs, and I think it's going to make it really difficult for the administration to get its agenda across for the next few years."