In a move intended to underline his commitment to Chelsea, the club are expected to announce the Russian has changed part of his investment from an interest-free loan into shares.
Having attended fewer matches in recent months, there had been growing speculation that Abramovich's interest in the club was diminishing.
Chelsea, however, vehemently denied a report last month which suggested he was looking for a buyer.
The club hope the share conversion will not only convince fans of Abramovich's ongoing commitment, but will also help defuse criticism, from figures such as UEFA president Michel Platini, over the size of Chelsea's debts.
In another move to scale back their debt, the board is aiming to pay for any purchases this summer by selling players.
The club's loss is an improvement on the £74m lost in the last financial year and £80.2m two years ago. It is also some way short of the record £140m announced by Chelsea in 2004/05.
Income was boosted by prize money from finishing runners' up in the Premier League and the club's run to the Champions League final.
The run in the Carling Cup —which ended in defeat to Spurs — will have generated extra home games and further revenue.
The Stamford Bridge finances were also supported by lucrative long-term sponsorship deals with adidas and Samsung.
The club were ranked fifth on the list of the world's richest clubs in 2007/08 — behind Real Madrid, Manchester United, Barcelona and Bayern Munich — but ahead of Arsenal.
However, Deloitte's Football Money League is based on turnover and does not take debt into account.