In most cases, if one works on one machine, its going to work on another. Some might be bundled with some proprietary drivers only for that distro, but in most cases this isn't the case.
When buying new hardware, always check the HCL's to ensure total compatibility.
Like our
http://www.linuxquestions.org/hcl/index.php which is starting to get bigger and bigger with more products compatible with Linux.
Regards.