The Greece international has scored 14 goals in 14 games for Olympiakos so far this season.
Arsenal boss Arsene Wenger is keen to strengthen his attack and will be given cash to spend in January.
The Daily Star reports that the 25-year-old would cost any interested club at least £7million.
Reports suggest Liverpool and Dortmund are also keeping an eye on the striker.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.