Warnock has come under increasing pressure at Elland Road and it has been widely reported that the 64-year-old would step down at the end of the current campaign.
However, in his post-match interview Warnock suggested that the club would be better off appointing an interim manager until the end of the season, revealing that the past year had been his toughest time as a manager.
"We are not going to get into the playoffs now so it is a good time to put somebody else in charge until the end of the season. I don't think they should rush into a permanent appointment because there are no outstanding candidates at the moment, but there will be in the summer," said Warnock.
"I have been a manager for 33 years and this last 12 months have been the hardest. I have given it my best shot but being honest we haven't been good enough in the final third of the pitch. I have not resigned at this moment but I am speaking to the owners and I think a statement will be made in due course.
"It would appease the fans if I go now and I will recommend putting Neil Redfearn (Development Squad Manager) and Gwyn Williams (technical director) in temporary charge until the end of the season. If the owners asked me to stay on for the remaining games, I would but I don't think it will come to that and it wouldn't appease the fans."
Warnock has been in charge at Leeds since February 2012.