"The American people deserve a constructive bipartisan conversation about improvements we know need to be made to our health care system, and that will require time for the two sides to work together," the letter to US Senators Mitch McConnell, Orrin Hatch and Lamar Alexander stated.
The letter noted there would be problems for consumers, states and health care providers if Obamacare is repealed and a replacement is delayed.
"[A] hasty repeal vote with no clear path for replacing the law will inject tremendous uncertainty into the American economy," the letter added.
Both the House of Representatives and Senate are expected to pass guidelines for repealing Obamacare next week, but Republicans have not agreed on one plan for how to replace it, or when the replacement will happen.