The 28 year old has made just four appearances for the Seasiders this term after signing a new one-year contract following the club's promotion to the Premier League.
Edwards is now looking forward to the chance to play first-team football.
"I am delighted to be back involved and hopefully I can get cracking as soon as possible and hopefully get some first-team action and help the boys in anyway I can," Edwards told the club's official website.
"Every footballer wants to play at the end of the day and the manager has brought me in after a few injuries to the squad.
"There's already two centre-halves Zak (Whitbread) and Elliott (Ward) who did really well at the weekend and hopefully I can push them and if I get my chance I can give it a real go."
Canaries boss Paul Lambert added: "With the injury to Leon severe we've brought in Rob to the squad.
"He's got experience and has seen it and done it with Blackpool last year and he'll be a big asset in the 14 games remaining this season."