Senate Republicans touted Nelson's comments Thursday along with similar statements from Democratic Sens. Ben Nelson (Neb.), Bob Casey Jr. (Pa.) and Joe Manchin (W.Va.), and Independent Sen. Joe Lieberman.
Republicans in the House and Senate are working on bills to change the administration's policy, though it's not yet clear exactly what approach they'll take.
Democratic supporters of the birth control mandate pushed back against the criticism earlier Thursday, accusing GOP leaders of playing politics with a women's health issue.
"The majority is trying to shore up an ideological base by reigniting the culture wars," Rep. Rosa DeLauro (D-Conn.) said at a press conference.