Dozzell suffered a serious injury on the opening day of last season, but has recovered to play 11 times across all competitions this campaign.
And the midfielder's form appears to have alerted the Premier League trio of Bournemouth, Brighton and Palace, with Ipswich said to have set a valuation of £5 million.
Dozzell's father, Jason, played top division football for Ipswich and Tottenham Hotspur in the 1980s and '90s.
And his promise has already been recognised on the international stage, where he has won England caps at various youth levels up to and including under-20.
Bournemouth have signed a number of up-and-coming Football League talents in recent years, although moves to Brighton or Crystal Palace may have slightly greater appeal from a geographical perspective - being at least an hour closer to Dozzell's native Ipswich.
Would Dozzell be a good addition for Bournemouth, Brighton or Crystal Palace?