Rowe burst on to the scene last season by scoring in Norwich’s opening five games and managed 13 in 38 appearances in total despite an injury that kept him out of the side for two months.
But he declined to play for the Canaries in their opening day 2-0 Championship defeat at Oxford United amid bids from Marseille.
Leeds United – who beat Norwich in last season’s play-offs – have also expressed an interest in Rowe but are not expected to submit a rival offer as Rowe is keen on a move to Marseille.
Kamara, meanwhile, is eager to leave Carrow Road before the transfer window shuts next week, with Hull City and Portsmouth reportedly interested.
He spent last season on loan at Pompey, helping them win the League One title, and scored 10 goals in 52 appearances for John Mousinho’s side.
Kamara was sent on as a substitute in their first two Championship games of the season and scored in their 4-3 Carabao Cup win over Stevenage. He has a year left on his contract with the option to extend for a further 12 months.