With talks between the White House and Congress still at a virtual standstill, Barbour said he would like to see a compromise that includes tax reform and entitlement reform.
"I would take raising the rates on the two top brackets if, in return, we had tax reform laid out over a period of months, if we had entitlement reform," he said.
Like many Republicans, Barbour was adamant that government spending must be reigned in before the talks to avoid the "Fiscal Cliff" will make any sense.
"We've got to control defense spending. We've got to control other discretionary, non-defense spending."
Even though Barbour said he if he were involved he would give on the tax hikes, he still didn't care of the idea. In fact, he said it stinks.
"I would hold my nose to get the other done. What I wouldn't do is vote for that and nothing else."
Barbour's Morning Joe appearance: