Rade Krunic is reportedly eager to make the move to Fenerbahce, but the latest offer is far below the Milan asking price of €13m.
Several sources in Turkey over the last 24 hours have suggested the midfielder agreed personal terms and is pushing for a transfer away from San Siro.
However, Calcionews24.com insist that the most recent proposal made to the Rossoneri is €8m, an increase from the original €5m offer that had been considered positively insulting.
It is still a very long way off the asking price, which is set at €12-13m, not to mention Milan needing to find a suitable replacement.
Their entire midfield has been transformed with the sale of Sandro Tonali to Newcastle United and Ismael Bennacer out injured for six months with a serious knee injury.
Bosnia and Herzegovina international Krunic will turn 30 in October and is under contract until June 2025.
He was purchased from Empoli in the summer of 2019 at a cost of €8.6m.