Currently on-loan with Besiktas, Elneny has been linked with a permanent January move to Milan.
However, Calciomercato.com says Milan directors Paolo Maldini and Zvonimir Boban are believed to see the 27-year-old Egyptian as no priority target.
This decision arrives after Elneny's representatives had offered the Egyptian to the Rossonero.
The midfielder's loan with Besiktas runs to the end of hthe season.
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