The law would allow people to carry guns in public.
Leaders in the Wisconsin troopers association say safety and the amount of money involved in the permit process make the law too risky to put into practice.
But gun rights groups say several states that have had the law are not thinking of changing it any time soon.
"Not one single state has introduced a bill even to repeal concealed carry," says NRA Activist Buster Bachhuber. "So they're not having this problem of the wild west, it just doesn't happen."
Bachhuber points to the 46 states that have some version of the concealed carry law, and says it's a success.