Former Sen. Saxby Chambliss Clarence (Saxby) Saxby ChamblissLobbying world GOP lobbyist tapped for White House legislative affairs The Hill's Morning Report - Gillibrand drops out as number of debaters shrinks MORE (R-Ga.) urged Senate Republican leaders on Tuesday to open up debate on their healthcare overhaul bill, saying they need to "let the Democrats engage" before trying to pass it.

"Let's put the bill on the floor, let's thoroughly debate it in the open before the American people, let's let them know what each side is talking about," Chambliss said on CNN's "New Day." "Let the Democrats engage. They've got some good ideas too, I'm sure. So let everybody engage in the process on the floor of the Senate."

Chambliss cast efforts to repeal and replace the Affordable Care Act as necessary and said that doing otherwise would be doing the country a disservice. But he also acknowledged the hurdles that come along with healthcare reform.

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"Healthcare reform in its current state is one of the most difficult issues we've ever addressed from a policymaker standpoint," he said. "It was tough back in 2009, as you alluded to; it took almost a year to get it done. Remember, Democrats couldn't agree."

Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellDemocratic senator to party: 'A little message discipline wouldn't kill us' House to vote on resolution affirming peaceful transition of power Republican lawyers brush off Trump's election comments MORE (R-Ky.) is reportedly aiming to hold a final vote on his Better Care Reconciliation Act this week.

But the measure has already raised concerns among some Republicans, five of whom have said they cannot vote for the bill in its current form.

Democrats have assailed McConnell for crafting the bill largely behind closed doors and have unanimously vowed to oppose the legislation.