Ba joined Chelsea from the Magpies for £7million just seven months ago.
The Mirror reports that the two clubs are in talks over the highly-rated 28-year-old striker.
Ba scored 29 goals in 54 games during his 18-month spell at Newcastle.
Ba is currently not a regular under new Chelsea manager Jose Mourinho.
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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?