Wilshere, who has 34 caps, has only started 80 Premier League games for Arsenal, making two substitute appearances so far this season.
He had a loan spell at Bolton in 2010.
Wilshere has less than 48 hours to find a loan club before the transfer deadline. He could be the second established England international to move on loan this week, with Manchester City goalkeeper Joe Hart set to move to Italian side Torino.
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