House Bill 1390 advances to the full Senate. Some lawmakers say it could shut down Mississippi's only remaining abortion clinic.
Two other abortion-regulation bills died under a Tuesday deadline, but supporters are trying to revive them.
Senate Judiciary B Committee Chairman Hob Bryan says he chose not to bring them up for consideration because he believes they'd be challenged in court.
House Bill 1196 would've prohibited abortion once a fetal heartbeat is detectable, unless the woman's health is at risk.
House Bill 790 would've regulated the use of the abortion-inducing drug RU-486 by requiring the prescribing physician to be in the room when the woman takes it.