The anime project seems to be progressing:
http://www.fujimishobo.co.jp/novel/zombie.php
It seems the anime adaptation will be announced by the author of the light novel series on the web radio show
Kore wa Zombie Desuka? Hai, Kimura Shinichi no One heart With You (temporary title) which will be broadcasted on May 20th on Youtube's
Kadokawa Anime Channel.