The question is what diameter valve are the rims drilled for?
Presta valves are only 6mm dia, whereas Schrader are 8mm.
If you use Presta tubes in a Schrader drilled rim, then yes, you run the risk of the tube bulging up through the hole and ripping the tube especially if you're at all rough with them during vigorous pumping (Phewerrrr!) <GRIN>

If this is the issue then you need a "Schrader Drilled Rim to Presta Valve Reducer Grommet"

https://www.ebay.co.uk/i/264720447429

Or here's a sexier and elegant solution:
https://www.ebay.co.uk/itm/Bike-Schrader-Presta-Valve-Bicycle-Wheel-Converter-Nut-Rim-Conversion-Nut-W0R2-/293803825967?_trksid=p2385738.m4383.l4275.c10

I use both valves on my bikes, just depends upon the rim.

Col.

Hopefully not modded as that will probably cause a nice sharp edge to cut your tube!
When I say "drilled" I mean "manufactured/designed"

Bottom line is, measure the diameter of the hole.
or, if a Presta valve rattles around in it and a Schrader is a nice snug fit then you need to use Schrader or get an adapter grommet and yes possibly on the inside as well, all in all, best to use the valves the rim is designed for........

Col.