-- While House Republicans celebrated the passage of their Obamacare replacement bill by busing over to the White House’s Rose Garden for a celebratory press conference, their Senate counterparts were already working to manage expectations, declaring they are going to write an entirely separate bill.
"What we have is something very, very incredibly well-crafted," Trump said of the bill. He added that he feels "confident" the bill will pass through the Senate and said it "will get even better."
Before the Senate gets to work on its legislation, the Senate Budget Committee must first review the House bill and determine which portions of that legislation are in compliance with the rules of reconciliation, under which the bill only requires 51 Senate votes for approval.
Reconciliation requires all measures be strictly related to the budget. The House is not beholden to those rules, so its bill was not written with reconciliation in mind.
Only after the Budget Committee determines which parts of the House bill are in compliance with reconciliation, thus abiding by the so-called Byrd Rule, can the HELP and Finance Committees get to work on their own version of the bill.
It's not yet clear whether or not the bill will go through the standard committee markup process, moving through the panels of jurisdiction like HELP and Finance, or via some other channel. Committee Democrats have indicated they think McConnell could move a bill directly to the Senate floor.
“The Senate can't really get to work to figure out what might fit the reconciliation process until after the CBO score is secured. It will take some time for each policy the Senate wants to pursue to be evaluated against all the rules of reconciliation,” a Budget Committee aide told ABC News.
The House voted to pass the bill without a CBO score, though an earlier analysis of the bill from the CBO -- before several amendments were added -- projected that 24 million additional Americans would be uninsured by 2026 and that it would reduce the deficit by $337 billion, compared to the Affordable Cart Act.
The Senate process of writing its own, reconciliation-compliant bill will take time, but in addition, senators will also have to contend with the vast ideological differences that have become apparent in the course of the health care debate.
No Senate Democrats are expected to cross the aisle and vote for a replacement health care bill, meaning Senate Republicans could afford to lose only two votes from their 52 members and still pass the bill. Vice President Mike Pence would cast a vote in the event of a tie.
After the Senate passes its own bill, the two chambers would likely have to reconcile differences in what's known as a conference committee. It's not clear whether House Republicans who voted for their version of the bill would sign on to changes requested by senators and vice versa -- a perennial concern for any legislation that goes through conference committee.
Cruz, who rejected the first House bill, suggested ahead of the House's vote that he would be open to using the new version as a springboard in the Senate but added, "I have a number of concerns, and I think many senators do."
"If the bill does pass the House, then it will come to the Senate, and it will be incumbent on us to continue to work to make it better," he added.
A spokesperson for Portman said the senator wants to see a better transition process for changing the way Medicaid is financed and more help for those receiving treatment for opioid addiction.
Capito, who opposed the House bill's Medicaid provisions, said through a spokesperson that the new version does not address her concerns. "She will work to improve the bill if it comes over to the Senate," her spokesperson said.
Aides for the other holdout Senate Republicans have not yet returned ABC News' request for comment.
In any event, the process is not likely to be swift. Senate Majority Whip John Cornyn of Texas, the chamber's second-highest-ranking Republican, told reporters Wednesday he thought the process of reconciling the two bills could take weeks.