Despite Southampton manager Ivan Juric's desire to retain Kamaladeen Sulemana, the forward could leave.
French club RC Lens is the latest to show interest in the 22-year-old this month.
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Sulemana missed Saturday's 3-1 loss to Newcastle due to a hamstring injury.
According to FootMercato, Southampton has turned down a loan-to-buy offer for Kamaldeen.
Kamaldeen recently broke his 19-month goal drought with a strike against Swansea.
Juric is optimistic that the forward will be fit for this weekend's match against Ipswich.
The situation remains fluid as the transfer window deadline approaches.