You should not be worried. Modern operating systems are fairly good at obtaining appropriate drivers automatically. If you need to do it manually, drivers can almost always be found through the manufacturer's support website. If you don't know who the manufacturer is, look up the device's VID. In both cases, you'll get drivers that are probably newer than the ones from the disc.
Should you be unable to get the right drivers, then depending on the device, the OS may be able to use generic drivers to get (some) functionality nonetheless. Sometimes, you can even get by using drivers for a different operating system version, or even a different device, provided they are sufficiently alike.
Unfortunately, sometimes official channels are not available, for example when the manufacturer went out of business or was acquired by another company that stopped providing drivers for legacy hardware. It's usually still possible (and fairly easy) to find the drivers, it just requires a little more care as you may well encounter malware. With very old and exotic hardware, I've occassionally had to abandon the search. These situations are exceptional. Personally, I wouldn't bother, especially not with a machine that's only two years old, but if it helps you sleep at night, you could manually collect drivers now and archive them for later use.