Kamara, who is a cult figure among Canaries fans, is currently on loan at Carrow Road but the deal ends on May 6, meaning he would not be available for the last two games of the season unless a permanent deal is secured.
Sporting KC chief manager and technical director Peter Vermes believes Norwich, who have already signed Dutch striker Ricky van Wolfswinkel for £8.5m from Sporting Lisbon for next season, may be holding off until they are certain of Premier League football.
Vermes told the MLS club's official website, sportingkc.com: "We are looking into it, but I haven't heard anything yet.
"We have already negotiated everything. Other than Kei saying he doesn't want to do it, it would pretty much go through.
"They are not really sure where they sit right now and where they are going to go. If they would be a little more secure in their position in the league, I think it would be easier for them to make a deal one way or the other.
"Right now, I think that is why we're not hearing anything."