Even though the Senate still has to act, Republicans now largely own a measure that would curtail, and in some cases take away completely, benefits Americans have embraced after seven years.
Save My Care says the campaign will include a mix of TV and digital advertising, costing more than a half million dollars. Democrats are also refusing to participate in any effort to dismantle Obama's law, while some Republican senators - Rob Portman of Ohio, Shelley Moore Capito of West Virginia, Cory Gardner of Colorado and Lisa Murkowski of Alaska - object to cutting Medicaid, the federal-state health care program for the poor and disabled.
But he's defending the House version anyway.
The House bill, passed 217-213, would end the health care law's fines on people who don't buy policies and erase its taxes on health industry businesses and higher-earning people.
Ryan acknowledged the Senate is likely to make changes to the House bill.More news: Jonas Blixt, Cameron Smith win Zurich Classic on 4th playoff hole
He also said the House version - which replaces the problematic 2010 health care law known as the Affordable Care Act - fulfills Trump's promise to provide comprehensive and affordable insurance to Americans, amid concerns that those with pre-existing conditions will no longer be covered.
Collins is a moderate senator whose vote will be important in the narrowly divided Senate.
On ABC's This Week today, George Stephanopoulos spoke with Speaker Paul Ryan and brought up the time in 2009 when he himself said, "I don't think we should pass bills that we haven't read, that we don't know what they cost..."
Collins cited concerns about potential higher costs to older Americans and those with pre-existing medical conditions.
Trump celebrated its passage with House Republicans in the White House Rose Garden on Thursday, an unusual move following passage of a bill by one House of Congress.More news: Apple VP shares thoughts on voice-powered speakers with screens
This is despite the fact that health care experts from across the political spectrum have said that the Republican health care bill is unworkable and suffers from fatal flaws and could lead to Americans dropping out of the health care market.
"I think that the Republican Party will be rewarded", said Reince Priebus, Mr Trump's chief of staff.
Health and Human Services Secretary Tom Price on Sunday firmly defended health care legislation passed in the House this week against charges that people who have pre-existing conditions could see their insurance premiums rise under some circumstances, NBC News reported.
The CBO has yet to release an updated analysis of the latest version of the bill, which faces an uncertain outcome in the Senate.More news: Lowry doubts he'll play Game 4 vs. Cavaliers
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