We don't know. As they haven't even officially confirmed which consoles it'll be on yet, it's definitely too early for anything other than speculation.
They brought out a Linux version of TW1 and TW2, but not until well after the original release. It's a reasonable assumption that they'll also bring one out for TW3, but, again, not until after the initial releases. So it would also be reasonable to guess that they will for CP77 as well, but whether or not it'll be at the same time as the PC and console versions is totally unknown.