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.
What is your opinion? Feel free to discuss the article under. You have to comment by using your Facebook profile. Be fair and have respect for other people and opinions!
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.