Sen. Lindsey Graham, R-S.C., echoed other Republicans Monday in saying that a bill to repeal and replace Obamacare would not come this year.

"I don't think we can put it together among ourselves. I've always believed let Obamacare collapse ... that has always been my preferred route," he told reporters.

Graham has previously said he would support President Trump stopping Obamacare payments of cost-sharing reduction subsidies. Without them, insurers would look to exit the exchanges as soon as they are able or would increase premiums by as much as 20 percent.

Senators were working on drafting text during the Memorial Day recess, but Graham said he had not discussed it with anyone over the break, but believed most disagreements were over Obamacare's provision to expand Medicaid to low-income people.

Sens. Richard Burr, R-N.C., Ron Johnson, R-Wis., and Jeff Flake, R-Ariz., also recently have cast doubt over whether the Senate would be able to repeal the healthcare law this year.

Sen. Majority Whip John Cornyn, R-Texas, however, said a repeal bill would pass by July at the latest, a deadline openly encouraged by Vice President Mike Pence.