Andriy Shevchenko is another in the frame, with the AC Milan icon having a good relationship with Abramovich.
And when it comes to permanent replacements, several have been linked.
Massimiliano Allegri is one of them, though the prospect of Chelsea hiring the former Juventus boss appears remote.
The Italian is still available, however, having been without a club since leaving Turin back in the summer of 2019.
Thomas Tuchel appears the current frontrunner to get the job, with the German on the market after his sacking by Paris Saint-Germain.
And Ralf Rangnick and Brendan Rodgers are also possibilities, though it seems unlikely the latter would leave Leicester at the current moment in time.