Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellSenate Republicans signal openness to working with Biden Hillicon Valley: DOJ indicts Chinese, Malaysian hackers accused of targeting over 100 organizations | GOP senators raise concerns over Oracle-TikTok deal | QAnon awareness jumps in new poll The Hill's Campaign Report: Biden asks if public can trust vaccine from Trump ahead of Election Day | Oklahoma health officials raised red flags before Trump rally MORE (R-Ky.) is signaling that the Senate will not quickly pass legislation to reform the nation's healthcare system after a bill cleared the House last week.

"This process will not be quick or simple or easy, but it must be done," McConnell said on Monday.

He added that "to those who have suffered enough already my message is this: We hear you, and Congress is acting."

The House approved the American Health Care Act (AHCA) late last week, but the Senate is expected to overhaul the bill as they try come up with a plan that can get enough support to pass the upper chamber.

McConnell didn't get into the details of the House bill but argued senators faced a choice between passing a new bill or the "indefensible ObamaCare status quo."

"It's the least members in both parties owe to the countless Americans who continue to suffer under ObamaCare and the countless more who will be hurt if we don't act," he said.

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McConnell will face a narrow path for clearing a healthcare reform bill through the Senate. Republicans have a 52-seat majority, meaning he could lose up to two senators and still let Vice President Pence break a tie.

No Democrats are expected to support a bill that would repeal significant portions of ObamaCare.

McConnell has convened a group of roughly a dozen senators as they try to hash out a deal that could get enough support.

A handful of senators, including Grassley and Sen. Bill Cassidy (R-La.), noted they expect the Senate to write its own bill.