Crystal Palace have no immediate plans to change their manager - but Pierre Sage is under increasing pressure following their 5-0 thrashing at Brighton on Sunday.
Palace find themselves 14th with seven points from seven games and Sage was unable to give assurances he had the club's full support after such a bitter defeat to their rivals.
Chairman Steve Parish recently stated the club was on "high alert" during the transitionary process from the era of Oliver Glasner into the new one under Sage, which includes a number of new players and a first Europa League campaign.
Asked after the defeat whether he would be given time to turn things around, Sage said: "I don't know.
"I just want to apologise to the fans because it's not normal to show this face for this club against this other club, and we are not at the level we expected.
"I am really sorry for that because I know how important it is for them.
"We didn't show that today it was really important for us too. We didn't understand in which context this game was played."