Scott Woodcock played for Norwich's Under-17s against their Ipswich counterparts on 1st May 2004. Scott had previously been with Norwich's youth team up to the age of 15. He joined Great Yarmouth but later switched to Norwich United before returning to Great Yarmouth in December 2004. By October 2005, he was playing for Fakenham. In mid-January 2006, he moved to Wroxham with Marr Shadrack heading in the opposite direction. In mid-May 2006, Scott returned to Fakenham. He joined Diss Town in the summer of 2007. After playing for North Walsham Town in the Anglian Combination, Scott joined Wivenhoe in March 2008. Scott returned to Great Yarmouth during the summer of 2008.

In July 2010, Scott transferred to Gorleston. By the 2012/13 season, he was playing for Kirkley and Pakefield but after a spell with Dereham, he was at Norwich United for the following season.