Article 1, Section 7, Clause 3

Article 1, Section 7, Clause 3

7.3 Every order, resolution, or vote to which the concurrence of the Senate and House of Representatives may be necessary (except on a question of adjournment) shall be presented to the President of the United States; and before the same shall take effect, shall be approved by him, or being disapproved by him, shall be repassed by two thirds of the Senate and House of Representatives, according to the rules and limitations prescribed in the case of a bill.

Concurrence between the House and Senate is required on health care.  Then, if I understand it correctly, the House will attachment amendments to the Senate bill and send it to the President.  Yet, that means, the Senate will not have voted on those amendments.

Deeming it to have passed will not pass constitutional muster.