The former England U21 international is on-loan at Trabzonspor to the end of the season.
Fanatik says Trabzonspor are keen to extend Baker's loan for another season.
Club president Ahmet Agaoglu said, “If we can continue under the same conditions, it would be beneficial for Baker to stay with us."
Trabzonspor has coughed up €700,000 to cover half of Baker's salary for this season.
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