I have the same issue – did you find a solution?
Ok I found this – so probably should work in 2.7 release: https://github.com/woocommerce/woocommerce/pull/11561
@gwegster: Wuhu your fix did it for me!! Thanks a lot, hope the author is going to fix this though!
@richardwpg: Manually is an option for once or twice, but updating all those packages manually from now own isn’t really an option, thanks for the reply though.
@frederick: No errors in the logs, sadly.
Anyway, I’ve fixed the issue from now by switching to nginx, a planned change I was moving in front of me for a long time anyway. So seems to me, that this was an Apache error, maybe some changes in .htaccess that broke the update mechanism…