Should anyone involved in the scandal go to jail, as House Speaker John Boehner has suggested?
"I don't know that answer yet," Camp said. "But clearly this is serious. I think the penalties should be serious. I think Infringing on people's constitutional rights is not something we should look (at) as a trifling matter."
Separately, former IRS Commissioner Douglas Shulman, who was at the helm of the agency during most of the period in question, will testify before the House Oversight Committee next Wednesday, a House GOP aide told CNN.
Shulman -- no longer in the government -- agreed to attend voluntarily.
Another official at the heart of the scandal, Lois Lerner, has told the committee through an attorney that she is currently in Montreal, and it's unclear if she can make the hearing.
Lerner is the head of the IRS tax-exempt division.