The Belgian striker has been in great form this season.
Tottenham Hotspur have also been showing an interest in the player, as an alternative for West Brom striker Saido Berahino.
Sunderland and Crystal Palace have also been linked with the striker.
However, according to reports in France, Batshuayi is going nowhere.
RMC reported this week that both the player and club are happy with the striker staying at Marseille until at least the summer.
He has been in good form this season, scoring 14 goals in 25 games for the Ligue 1 giants and putting himself firmly in contention to play for Belgium at the European Championships in France next summer.
Newcastle, Tottenham, Sunderland and Palace all need new strikers for their respective efforts and the 22-year-old is a perfect option.
However, it appears he is going nowhere this month.