HITC Sport understands Crystal Palace, West Brom and Swansea City weigh up bids for Norwich midfielder.
Godfrey has been attracting interest from a number of clubs following his impressive spell on loan at Shrewsbury Town last season.
The 20-year-old made 51 appearances in all competitions for Shrewsbury last season and was instrumental in helping the club reach the League One play-off final only to lose to Rotherham.
Godfrey joined Norwich from York City in 2016 and he is highly-regarded within the corridors of power at Carrow Road.
The powerful midfielder, who can also play in defence, is expected to break into the Norwich first-team next season, but now the club face a battle to keep hold of him this summer following his impressive showings on loan at Shrewsbury.
Godfrey's impressive form at Shrewsbury has brought him to the attention of Premier League Crystal Palace and relegated duo West Brom and Swansea.
Palace, West Brom and Swansea see Godfrey as a potential star in the making and they are ready to test Norwich's resolve to hang onto him by launching bids in the region of £3million for the player during this summer's transfer window.
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