Since returning to the club from Brackley Town in the summer, Walker, whose other former clubs include MK Dons, Millwall, Cambridge United, Morecambe, Kettering Town and Leamington, has been in fantastic form this season.
This new deal is great news for both the club and player and is a great reward for his form and dedication shown.
Tudors` chairman Dave Boggins said it is great to see Laurie committing to the club, especially with the exciting times ahead.