Having already secured the signature of Alexis Sanchez from Barcelona – though he may field the Chilean on the right flank while Theo Walcott remains injured – the Gunners boss believes that he is well stocked in the final third.
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"Up front we don't need any more," Wenger told the press. "It's not especially for numbers.
"We need a goalkeeper for sure and, after that, it depends on how our midfielders get through without injuries until the start of the season. Maybe at centre-back we'll still bring one in."
Wenger is understood to be close to a deal to sign keeper David Ospina from Nice, while he has also made a preliminary approach for Southampton midfielder Morgan Schneiderlin and right-back Javi Manquillo is expected to join on loan.
With Manchester United set to up their bid for captain Thomas Vermaelen, an extra defender would also be on his shopping list if a deal is agreed for the Belgian.