The Cherries wish to take the youngster on-loan for the second-half of the season.
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However, despite Nwaneri's lack of action this seeason, BBC Sport is reporting Arsenal management have no plans of sending him away this month.
Gunners manager Mikel Arteta is wary of being caught short of options with Arsenal going for both the Premier League and Champions League titles this season.
Indeed, management also believe Nwaneri's development will be served best by staying where he is at this stage in his career.