Legislative leaders say no decisions have been made on whether lawmakers will advance gun regulation measures before session ends.
The measure would eliminate background checks at all gun purchases for some Indiana gun license holders.
The House approved legislation Monday to eliminate the fee for Indiana’s lifetime handgun carry license.
Those seeking lifetime permits to carry a handgun in public now pay fees of up to $125 are mostly split between state and local police agencies.
The federal bill would mean a gun license in one state would be valid in any other state, even those with stricter regulations.
A legislative panel avoided directly endorsing a proposal to eliminate Indiana's law requiring a license to carry a handgun in public.
The issue of whether to repeal a law that requires Hoosiers to be permitted to carry a handgun will likely come up next session.
Monroe County Sheriff James Kennedy said Indiana gun laws were lax enough before senate bill 506 was signed into law Tuesday.