The Premier League confirmed this week that an independent commission had found City guilty of all charges relating to financial regulation breaches between the 2009-10 and 2017-18 seasons.
The findings included allegations that the club artificially inflated revenue by more than £900m through commercial arrangements described by the Premier League as "sham" sponsorship deals.
Manchester City have consistently denied the allegations and have indicated that they will appeal the commission's findings.
The case has already taken more than three years since City were charged in February 2023, creating concern that the next stages could take considerably longer.
However, senior football figures have told BBC Sport that there is a desire for the process to be concluded during the current campaign.
One club official, speaking anonymously, said: "It benefits everyone for this to be resolved as quickly as possible."
Asked whether they believed that would happen, the official added: "Instinctively yes, but it has to be done right.
"We can all see what the risks are if it's not. But those risks have been there throughout the process, as they've won the league multiple times during it."
Another source said the case "should" be resolved before the end of the season and expressed hope that any appeal process could be compressed.
The Premier League's regulations provide a framework for the timing of an appeal, stating that it should conclude within 12 weeks of being filed, followed by a decision within 30 days.
Procedures can also be accelerated where necessary to meet deadlines connected to the end of a league season.
The issue is particularly significant because Manchester City will continue competing while the disciplinary process remains unresolved.
There are concerns within football that allowing the club to complete another season without a final punishment could create uncertainty, particularly if City remain involved in the title race.
The final decision on any sanction will rest with the independent commission.
The Premier League board and Manchester City can make submissions regarding a potential punishment before the commission reaches its decision.
City chief executive Ferran Soriano has previously suggested that the process could continue for a considerable period.
The club cannot make a further appeal to the Court of Arbitration for Sport, although there could potentially be a challenge at the High Court over the fairness or impartiality of the process.
The Premier League said following the verdict that it wants the process to be "concluded as soon as possible".
The commission's findings have therefore moved the case into a new stage, with the focus now shifting from whether the charges were proven to what consequences should follow.
Manchester City's appeal will be a key part of that process, while the independent commission will ultimately determine any sanction.
The desire among senior figures in football to have the matter concluded this season reflects the importance of establishing clarity before the next campaign begins.