The Blues' boardmember has reiterated that the club will take its time to name the man to take charge for next term.
Chief executive Ron Gourlay has once again insisted that Chelsea will not rush into appointing a new permanent manager ahead of next season.
Interim boss Roberto Di Matteo, who replaced Andre Villas-Boas in March, led the west London side to an FA Cup triumph and its first ever Champions League title, and is a popular contender amongst players and fans for the job.
Despite his short successful spell, the Italian is not guaranteed the position, with former England manager Fabio Capello, among others, also linked with the role.
Gourlay was full of praise for Di Matteo, but stressed that the club would not be rushed into making any decisions regarding the managerial position.
"As we've said exactly from the day Robbie [Di Matteo] was given the job as interim coach, let's get through to the end of the season, we set ourselves goals and then when that season ends then we'll sit down and discuss things," Gourlay told Sky Sports News.
"Whilst we hoped to get to Munich we didn't know at the time we would get there so we just asked Robbie to give us his best and see where we went. So now we have to sit down over the next week or two, or however long it takes, because we've got to do what is right for the football club."
He went on to say that the entire season will be examined and a decision will be made from there.
"We will look at the season, look what worked for us, look at the mistakes we made, put them right and then take it forward," he added. "I know the fans will be pushing for Robbie, but we're not jumping into anything rash.
"He has done fantastically well and I'm very proud of him and what he has achieved. But we will stick with what we said and sit down and talk things through and work things out."