The 20-year-old enjoyed a breakthrough 2025/26 campaign, scoring 13 Premier League goals and attracting interest from a number of Europe's biggest clubs.
Arsenal, Tottenham and Paris Saint-Germain have all been linked with Kroupi, with Bournemouth understood to have no intention of considering a departure unless their valuation is met.
Kroupi had hoped that his outstanding first full Premier League campaign could lead to a move during the summer transfer window.
Those plans were disrupted, however, when he suffered a foot injury during pre-season which required an operation.
The French forward has spent the past two months working his way back to fitness and is now making significant progress.
He is targeting a return to full fitness around the first week of November, giving him an opportunity to build up his match sharpness before returning to competitive action.
The timing could be significant for Bournemouth, who are balancing their Premier League campaign with European commitments.
Kroupi's absence has also meant that clubs monitoring his development have had to wait before seeing him return to the form that made him one of the Premier League's most talked-about young forwards last season.
His 13 league goals marked a remarkable breakthrough campaign, with the youngster also surpassing records previously held by Robbie Fowler and Robbie Keane.
That form led to increased speculation over his future, with Arsenal particularly interested in adding another young forward to their squad.
Kroupi's profile fits the type of player Arsenal have been examining, with his pace, age and goalscoring record making him an attractive option.
Bournemouth, however, are understood to have set a club-record fee as the level at which they would consider doing business.
The forward also made a significant international decision during the summer when he turned down the opportunity to represent Portugal at the World Cup in favour of continuing with France.
Kroupi's recovery will now take priority as he works towards a return to the Bournemouth squad.
A successful rehabilitation would allow him to regain his match fitness before the second half of the season, while his performances after returning are likely to be closely followed by clubs who have already shown an interest.
For Bournemouth, his return would provide another attacking option as the club continues to compete on multiple fronts.