The midfielder has rediscovered his fitness and form this season under coach Max Allegri.
However, Loftus-Cheek isn't regarded as a first-choice with the Rossoneri - something he would be guaranteed with Lazio.
For Lazio, says TMW, Loftus-Cheek is regarded as a 'dream' target, where he would be reunited with his former Chelsea manager Maurizio Sarri.
Indeed, Loftus-Cheek has stated in the past he played his best football the year Sarri was in charge of Chelsea.
For now, Lazio are maintaining a watching brief, but a move in January for the England international has not been ruled out by the club's top brass.