Mertesacker will have just one year left on his current contract with the Gunners, at the end of this season.
The Sunday Mirror reports that Arsenal will offer the 29-year-old a new contract to keep him at the Emirates for the next three years.
Mertesacker has impressed manager Arsene Wenger this season and the Frenchman is keen to keep the 29-year-old at the club.
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Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.