( CNN) The group of House conservatives who have been Deputy Attorney General Rod Rosenstein's sharpest critics are steamed over plans for Rosenstein to be interviewed next week in a classified setthat excludes them, and they plan to push back to try to change the agreement.

While the committees said Rosenstein will be under oath and a transcript would be released after it was scrubbed by the intelligence community, several House Republicans say the arrangement is allowing Rosenstein to avoid proper oversight.

“It should not happen the route it was talked about( Thursday ). That is completely unacceptable for those of us who have been involved in this issue now, ” said Rep. Jim Jordan, who plans to run to be the next Republican House leader. “The idea that it's just going to happen with two members from the Republican Party, merely two member states of the Democrat Party, in a classified situate, which means one thing — the American people will never know what's said.”