The report claims that the Gunners have given the French outfit until Thursday to respond to the bid, after an initial offer of £6m was turned down.
Arsenal boss Arsene Wenger is understood to be keen to conclude a deal before flying off to the World Cup finals this week.
The player himself has reportedly negotiated a four-year contract and is desperate for the two clubs to reach a deal as soon as possible.
Koscielny's arrival could well spell the end of the career of William Gallas at the Emirates, with the veteran's exit looking increasingly likely.
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