As a result of Scolari leaving and a series of poor performances, the 31-year-old has struggled to secure himself a place in Guus Hiddink's starting XI resulting in him being linked with a move away.
Related ArticlesCole set for new Chelsea dealHiddink faces defensive headachePremier League actionAncelotti speaking Chelsea's languageHiddink hails brave CechChelsea lose ground in title raceAccording to the Mirror, Mourinho - Deco's former manager at Porto - is still an admirer and ready to offer him an escape from Stamford Bridge should Chelsea agree to a deal that would not see them make a substantial loss.
The paper also suggests that the club will go ahead with their approach regardless of whether Mourinho is still in charge next season or not.
Speculation over the Portuguese manager's future in Milan has been rife since the defending Serie A champions crashed out of this year's Champions League in the knock-out stages against Manchester United.
Inter faced further embarrassment this week after being knocked out of the Italian Cup by Sampdoria in the semi-final stages. It marks the first time in five seasons that the Italian giants have not featured in the final.
On the upside for Mourinho's side is they look certain to clinch the Italian title. They have a 10 point lead with just six matches to play.