Tore Reginiussen is being tracked by a host of top clubs, but is yet to receive a formal approach.
The 22-year-old recently underwent a trial at Premier League outfit Blackburn and was of the belief that his time at Ewood Park had been a success.
However, Rovers are yet to make contact with the Norwegian defender in an effort to thrash out a deal.
Tromso's sporting director Morten Kramer admits interest is mounting in the youngster, but confirmed that no offers have been received as yet.
"We haven't heard anything. There is nothing to report," he told Nordlys.
"They are probably judging which players they need to strengthen their squad and need some time to make that decision.
"We haven't received any offers from anyone but, through his agent, we have heard that there is interest from several clubs."
Despite Reginiussen's optimism regarding his time in England, reports on Thursday suggest that Rovers will not be following up their interest in the centre-half.