Taylor's position became even more perilous earlier this week when Palace chairman Simon Jordan said how much he respected former Sheffield United manager Neil Warnock.
Taylor admitted: "I'm not confident but I just don't know because I've not spoken to Simon, I doubt we'll speak before the weekend but he's had a few things on his plate.
"If I'm honest it's not nice when you read that he's been having regular contact with Neil Warnock.
"I hope I'm given time because I enjoy the job. I have lots of great memories of Crystal Palace and I'd like to be successful here."