Chelsea gave Mourinho a public vote of confidence last month, but the team have won just one of their five matches since and saw their defence of the League Cup ended by Stoke City.
Nevertheless, Mourinho appears to retain the support of the club's supporters, who chanted his name throughout the defeat against Liverpool, which was the club's third home loss of the campaign.
Avram Grant, who succeeded Mourinho after he was sacked by Chelsea in September 2007, only to be himself dismissed eight months later, believes the end is not yet nigh for the Portuguese.
"Normally Roman gives the manager space," Grant told BBC Radio 5.
"He's not day-by-day wanting to know what's happening. He's not a guy who will pick up the phone every five minutes and ask what you are doing.
"Even when the situation is not so good, he will want to show everything is calm."
Chelsea's Brazilian playmaker Oscar said the only way to turn the situation around was to string a run of wins together.
"We need to win - doesn't matter if it's Champions League or Premier League."
- AAP
