In an interview on "This Week", Stephanopoulos first asked the speaker why the AHCA, House Republicans' replacement for President Barack Obama's Affordable Care Act, allowed states to opt out of mandating that insurers not raise insurance costs for Americans with preexisting conditions.
And some GOP senators are saying the House bill will be looked at in depth before it comes to a vote.
However, he also seemed to make a point of giving the Senate time to make changes, despite Trump's strong desire to fulfill his campaign promise of repealing and replacing ObamaCare.
Republicans have often defended their repeal efforts by claiming that Obamacare is collapsing on its own, but the non-partisan Congressional Budget Office found in March that "the nongroup market would probably be stable in most areas" if Obamacare remains in place.
Conservative Rep. Raul Labrador, R-Idaho, drew boos Friday at a public meeting for his response to a constituent who said the House bill tells people on Medicaid to "accept dying".
"Both Democrats and Republicans in the Senate have said this plan is no good", Schumer said.
Major medical and other organizations, including the American Medical Association, oppose the House bill. He added that people who will be impacted by the bill will be "living in the emergency rooms again".
Health and Human Services Secretary Tom Price on Sunday defended cutting almost a trillion dollars from Medicaid in the GOP-backed health-care plan as being necessary to fix a "fundamentally flawed" system - and give people the coverage they need.
"Senate Majority Leader Mitch McConnellMitch McConnellTrump to nominate two energy regulators More than one-third of Americans oppose GOP healthcare bill What moderate GOP senators want in ObamaCare repeal MORE (R-Ky.) on Monday signaled that the upper chamber would take its time on legislation for reforming the USA healthcare system". The House bill halts the expansion, in addition to cutting federal spending on the program, which Trump's health chief argued is flawed and dictates too much from Washington.
With a slim majority, McConnell can only afford to lose two votes from his party.
Americans want problems solved and a broken health care insurance system is one of the biggest ones.
"Senator [Elizabeth] Warren [(D-Mass.)] and I are going to do everything in our power to stop this bill in the United States Senate". The ad will focus on key elements of the American Health Care Act and thank Ryan and fellow Republicans for "keeping their promise" on the health care issue, the group said.
"There are some times in life you have to do what's right, not what's politically expedient", Priebus said Sunday.