Sen. Lindsey Graham (R-S.C.) (Jonathan Ernst/Reuters)

Senator Lindsey Graham (R-S.C.) called on Senate leaders to allow a vote before the midterm elections on a proposal that would ban abortions after 20 weeks, even if it might not have the support to pass.

"I'm asking for Senator McConnell and Senator Reid to allow us to vote on this, in 2014. I know we are really busy around here and there's no room to do anything, but we'll find some time to talk about this issue," he said Thursday during a news conference with Sen. Rob Portman (R-Ohio) and several other members of the antiabortion community.