This is exactly why I'm not a fan of watches with integrated link bracelets * when buying secondhand (and vintage). If the bracelet is too big, then that's not an issue, but if the bracelet is too small, then you're off on a hunt for extra links. And then there's no guarantee that you'll find the right ones (WITH the pins), and if you do, you can be held over a barrel when it comes to the price.
It's up to you whether you want to take the plunge and pay the extra, but you might end up spending more than finding the same watch with a bigger bracelet.
* it's different with a Milanese type bracelet, as they are infinitely adjustable anyway.