With the clock ticking, Senate plans to vote on new Obamacare repeal bill next week

Senate Republicans have until September 30 to pass the bill.

“It is the Leader’s intention to consider Graham-Cassidy on the floor next week,” said McConnell Spokesman David Popp Wednesday afternoon, referring to the bill by the names of its co-sponsors.

Support for the Graham-Cassidy bill, considered to be Republican’s last shot to follow through with a campaign promise to undo Obamacare, hinges on a handful of Senators who have not yet indicated how they plan to vote.

Senate Republicans face a September 30 deadline to pass their bill with a simple majority of 51 votes, meaning the bill could be killed if more than two Senators vote ‘no.’

"I believe that Graham Cassidy will do it the right way,” said Trump, adding that it has “tremendous support from Republicans.”

Supportive Republicans say this bill gives states the power to cover their constituents according to their needs.

“I would not sign Graham-Cassidy if it did not include coverage of pre-existing conditions. It does! Great Bill. Repeal and Replace,” Trump tweeted Wednesday night.

But Democrats they’re concerned about people losing coverage.

With the clock ticking, the Senate Finance committee will hold a full hearing on the bill next Monday.

ABC News' Mary Bruce and Ali Rogin contributed to this report.