The "Special One" as Mourinho is referred to in international football circles because of tactical brilliance as a manager.
If an agreement between the two is reached, Mourinho will be rejoining Chelsea after a gap of six years.
According to The Mirror, Mourinho and Abramovich have reached a provisional agreement for him to take over from interim coach Rafa Benitez this summer on a three-year contract.
Significant stumbling blocks still exist, but are being ironed out, the tabloid claimed.
However, if the agreement does not come through, Abramovich is likely to rope in the services of Dutch veteran Guus Hiddink. (ANI )