The Telegraph says Wenger is considering Milner as a surprise replacement right-back for Bacary Sagna.
Wenger is interested in signing Milner from Manchester City this summer and is believed to be drawn to the idea of converting the midfielder into a right-back.
Sagna is set to join City on a free transfer after agreeing terms on a £150,000-a-week contract with the Etihad club.
One of Wenger's priorities will now be to find a replacement for Sagna and 28-year-old Milner is one of the options being spoken about at the Emirates.
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