"If we get to impasse, if we go to a bill that is more repeal and less big government programs, yes, I'll consider partial repeal", he said. The Senate bill will begin to rollback Medicaid expansion in 2021 and allow states to opt for waivers for essential health benefits.
Heller is the most politically endangered Republican senator in 2018, by some distance.
The Senate bill would phase out extra money Obama's law provides to 31 states that agreed to expand coverage under the federal-state Medicaid program.
"It's going to be a good bill", Trump said in a separate Fox News interview to air on Sunday.
Like the House legislation, the Senate bill would impose major changes to Medicaid and curtail its growth over time and also would repeal the individual mandate.
Some Democrats are holding events this weekend to stand up against the bill.
Sen. Susan Collins of ME says she thinks getting the votes needed in the Senate this week to pass a Republican bill to replace the Affordable Care Act could be very hard.
President Donald Trump pressured the handful of Republican senators who may be planning to vote against Majority Leader Mitch McConnell's plan to overhaul Obamacare, days before the Senate is likely to begin debate on the measure. He is one of four GOP senators to say they are opposed it but are open to negotiations, which could put the measure in immediate jeopardy.
Trump bemoaned the lack of help from Democrats on health care.
He chided Democrats for their opposition to the Republican effort, saying, "Democrats slam GOP healthcare proposal as Obamacare premiums & deductibles increase by over 100%". Much of those criticism has centered on how the bill's steep cuts to Medicaid, among other things, would amount to a death sentence for Americans who rely on the program. "This bill that is now in front of the United States Senate is simply not the answer".
"We don't have the courage in Washington, the honesty, to talk about this issue with real facts", he said. You may not agree with me, but we can probably agree that what is happening now is embarrassing, shameful and will do harm to us. The lobbying group is waiting to see the analysis of the bill's impact on spending and insurance coverage from the nonpartisan Congressional Budget Office, expected next week.