(Bloomberg) -- Senate Republicans are expressing a willingness to consider a bipartisan approach to strengthening the individual insurance market under Obamacare, even as President Donald Trump is deciding whether to end payments for it.

Senate Majority Leader Mitch McConnell said on Saturday he’d be open to the attempt, which follows the collapse of Republican efforts to repeal and replace the Affordable Care Act, according to the Associated Press. Republican Senator Thom Tillis said he’d be obligated to consider it.

“We have got a destabilized market where insurance rates are going to go up 20, 30, 40 percent next year,” Tillis of North Carolina said on ABC’s “This Week” on Sunday. “Anything that we can do to prevent that and the damage that that will have on people who need health care I think is something I have to look at.”