The 27-year-old had an operation on a niggling issue in the wake of City's play-off victory over Middlesbrough as the Canaries secured an immediate Barclays Premier League return.
Having moved to Carrow Road from Blackburn in 2013, Olsson is now an established name at the club and manager Alex Neil believes he could have the Sweden international in his squad for the opening day fixture against Crystal Palace on August 8.
"As soon as the season finished Martin had an operation on his shoulder, which was an ongoing issue for him," Neil said on Norwich's official website.
"There were a couple of games last season where he played through the pain
We needed to make sure for Martin's sake that it stopped being an ongoing issue.
"He's well into his rehab now, which is going well
The operation was successful; it's just a case of how quickly we can get him back, we'll know more in the next few weeks as we continue to monitor his progress
He'll be back in contention as close to the start of the season as possible."
Meanwhile, Olsson's fellow 2013 summer arrival Ricky van Wolfswinkel again looks set to depart Norwich on loan.
The club's record signing scored just once in his debut season before spending last year at St Etienne and the Holland international has now been linked with a temporary move to former club Sporting Lisbon.
Source : PA
Source: PA