Faster searching for specific dirs all over the drive in python

Question

I have a network disk with data. Many of dirs, many files. On disk I have some dirs with logs named LOGS_XXX, in those folders are various files and folders, including the folders I'm interested named YYYYFinal, where YYYY is year of created. So I just want to create list of path to that dirs but only if YYYY > 2017. In one LOGS could be more than one YYYYFinal. Could be nothing interesting too.

So I put here a part code searching dirs by conditions and creating list:

path = path_to_network_drive

def findAllOutDirs(path):
    finalPathList = []
    for root, subdirs, files in os.walk(path):
            for d in subdirs:
                    if d == "FINAL" or d == "Final":
                        outPath = root+r"\{}".format(d)
                        if ("LOGS" in outPath) and ("2018" in outPath or "2019" in outPath or "2020" in outPath):
                            finalPathList.append(outPath)
    return finalPathList

And this code work good. I mean I got a final list but it take long time. So, maybe someone from here see some mistakes, bad using code or just know better option to do it by python?

Thanks!