Dickov guided Oldham to a surprise 3-2 victory over Liverpool in the FA Cup fourth round on Sunday, but after no wins in eight league matches, Corney admitted that he still believed that the Latics needed to improve for Dickov to remain as manager.
Corney said: "We know we have poor form in the league and things need to be changed. Let's see what happens. Nothing has been decided and I couldn't tell you any more than that.
"Paul is the first one to say that when you get one draw out of eight games, things are going to be spoken about and things are going to happen.
"But things in football changes very quickly, we know that. One big win, two bad losses can change your mind. If you asked 1,000 people last week if we should change the manager, 999 would have said yes. Today, 999 would say no."
Oldham are currently in 19th place in the League One table, just one point above the relegation zone.