Hazel, who has signed a new one-year contract with the Spireites, has flown out to Norway where he will spend the week and discuss the potential move.
Any deal with the third-tier side would be a six-month loan.
Blues boss Paul Cook said: "There are areas of Jacob's game that he must improve and we feel that he needs a bit more time because he has the priceless ability to score goals.
"Six months in a foreign country would be a great experience for him and it would further his football education."
Hazel made his Chesterfield debut as a substitute in the Johnstone's Paint Trophy against Oldham in September.
The 19-year-old then made his League debut shortly afterwards in a 2-2 draw at York before loans spells at Matlock Town and Workington later in the season.
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