The Russian owner has reportedly been impressed with the manner in which the 41-year-old has transformed the Blues' campaign and is set to present the Italian with the bonuses that would have been given to his predecessor Andre Villas-Boas.
Di Matteo’s wages increased last month when he became the successor to the Portuguese after his sacking however with Chelsea’s hectic fixture schedule over the past few weeks there’s been no time to renegotiate the Italian’s deal.
The 41-year-old is still on the 12-month rolling contract he signed last year when he was appointed as the club’s first-team coach.
However, Abramovich’s offer to Di Matteo which is not a legal requirement, and is an indication the Italian has emerged as a serious candidate to replace Villas-Boas on a full-time basis.
Since taking charge of team affairs last month the former Blues midfielder have won 10 out of their 14 matches, including last week’s win over Barcelona which has given them a crucial advantage in their Champions semi-final clash with resumes on Tuesday.