Everton have made the first move to resolve this situation offering Calvert-Lewin a new contract, but so far the ex-England striker has not put pen to paper.
So, he would leave for free next summer if the 27-year-old centre-forward does not agree to stay at Goodison Park.
Today there are two stories claiming other Premier League clubs are keen on signing the player who came up through the Toffees youth ranks.
The first report claims Newcastle United are confident of striking a deal for the player who scored eight times last season for the Blues.
It is not the first time the Magpies have been linked with Calvert-Lewin and according to the Daily Telegraph the super wealthy North East club are closing in on him while the player himself likes the idea of a move to Tyneside.
In the other story, this time from Footballtransfers.com, Calvert-Lewin's suitors are West Ham United and Brentford both of whom are looking for a new centre-forward this summer.
As always we don't know for sure whether either of these rumours have any substance to them, but stories linking Calvert-Lewin with a move away from Everton are sure to continue unless he agrees a new contract.
Of course the Toffees have a big decision to make if as the summer continues there is no sign of Calvert-Lewin being ready to pen an extension. And he might become another player leaving during this transfer window.
It would be frustrating for him to leave on a free next year so at some point soon Everton may have to consider selling to avoid that scenario.
Things might change if the Blues were to get a new owner sooner rather than later with Dan Friedkin's attempted takeover moving forward but still far from certain to be successfully completed.
Were that best-case scenario to happen, then Calvert-Lewin - assuming he is still at the club - might decide to commit to a new contract.
Alternatively, if he had already gone Everton could have much more resources to go out and buy a replacement before the transfer window shuts.
As for who could come in for him, there is further stories that one of Newcastle's players Yankuba Minteh might move to Merseyside, possibly on loan, after a successful spell with Feyenoord last season.
Minteh is not a direct replacement for DCL, but Dyche could speak about the Gambian to his new neighbour Arne Slot - the former Feyenoord head coach - who has now of course become Liverpool manager.