The 27 year old has made 146 appearances for the Canaries since signing from Peterborough United in October 2009, a tally which includes every minute of the promotion winning campaign of 2010/2011.
The Scotland international initially moved to Carrow Road on loan; though he made his move permanent after just six games, going on to help guide the club to the League One championship under Paul Lambert.
Martin has missed just a handful of appearances since Norwich returned to the top flight, while he made his first competitive international start in last month’s victory over Croatia in Zagreb.
Meanwhile, manager Chris Hughton is hopeful of agreeing a deal for Blackburn Rovers left back Martin Olsson.
The 25 year old Sweden international is expected to complete a £2million-plus deal in the next 24 hours, according to the Daily Mail.