The 35-year-old Dane is understood to be in ongoing discussions with the Canaries about replacing David Wagner, who was sacked a day after their Championship play-off semi-final defeat by Leeds.
Norwich finished sixth in the table under Wagner and his replacement will prepare the Carrow Road club for a third season in England’s second tier.
Thorup has been in charge of Danish top-flight side Nordsjaelland since January 2023, having been promoted from his role as assistant coach.
He guided them to a second-place finish in 2022-23 to earn a spot in the qualifying rounds of the Europa Conference League.
And in his first full season in charge this term, he took Nordsjaelland to the group stage of the European competition and oversaw a fourth-place finish in the Danish Superliga table.
