My guess is that such a watch is from the early to mid 60's. My dad had a Wittnauer with an 11KAS movement that was purchased around 1968. It had what I think is a more modern center seconds hand rather than the subsidiary seconds bit/hand on yours. It may also be a clue that your watch has a single suffix letter, "K", rather than the "KAS". In addition, it appears as if the "K" is a manual wind movement, where the "KAS" is automatic. My guess is that it's the same movement, but with an auto-wind module added. Cheers.
Dr. Ranfft's site says it better:
Wittnauer 11K