The 34-year-old’s current contract with the Blues is set to expire next month.
Lampard has yet t sign a new deal at Samford Bridge and he will be a free agent this summer.
Lampard has also been strongly linked with a move to Major League Soccer side LA Galaxy.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?