... assuming you are not putting a floor mat on top of another,
as I still find that many of my non-Corvette family & friends still doing this,
It might be remedied for you by going with a full-fit mat like with a Weathertech ...
WeatherTech | Custom Fit Car Mats, Floor Mats, Trunk Liners, Window Deflectors
these were the first thing I bought and put into my new Corvette and some of these
weather-tech mats now come with a non-slip carpet grabber on the bottom of them
for applications/vehicles without the snap-in tabs.