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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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?