Jackson, Miss. Mississippi Republican Sens. Thad Cochran and Roger Wicker are co-sponsoring a bill that would require most states to recognize permits other states issue that allow people to carry concealed firearms.
A similar GOP-led effort died in the Senate in 2013. Wicker and Cochran supported the bill last year.
While extending concealed carry privileges, the legislation recognizes state's rights and does not provide for a national concealed carry permit.
Opponents have argued the plan would let people from states with loose requirements for the permits bring weapons into states with tougher standards.
Gun rights advocates argue people with such permits should be able to carry concealed weapons elsewhere.