Sounds like momentum is building for passing the Senate bill with reconciliation fixes. Sargent reports:
White House aides have privately told Dem Congressional aides that the White House supports the House passing the Senate bill with a reconciliation fix, something that could give a bit more momentum to that approach, according to two Congressional staffers familiar with the discussions.
Sargent is very reliable, but as with everything, take these source-told-another-source-who-told-a-source bits with the appropriate level of skepticism. You never know when a political office is merely floating an idea or begging a reaction. But if genuine, this is very good news.