The Latics delivered a cup shock at Boundary Park with a 3-2 victory over the Premier League visitors but the club's precarious position in the league has chairman Simon Corney looking for solutions.
Oldham have taken one point from their last eight league matches, leaving them 19th and one point above the drop zone, and even a morale-boosting cup victory may not be enough to save the beleaguered manager.
"The one thing I will always do is roll my sleeves up and get on with it," said Dickov, who saw most of his backroom staff sacked last month and is due to meet Corney on Monday.
"I have spoken to Simon and it's not been mentioned - if something was happening I would have thought he would have told me.
"There are a lot of things that went on that me and Simon need to talk about.
"You can spit your dummy out or you can roll your sleeves up and get on with it and one thing I will always do is work hard."
Asked whether he would still be manager for the visit of another top flight side Everton in the next round he replied: "I don't know, you're asking the wrong person."
Corney refused to clarify what the future holds for Dickov.
"We know we have poor form in the league and things need to be changed," said Corney just minutes after Oldham booked their place in the last 16 for the first time in 19 years.
"Football changes. People are very fickle, fans are very fickle, everyone is very fickle.
"Nothing will take away from the fact I need to change things to stay in this division.
"Let's see what happens. Nothing has been decided and I couldn't tell you any more than that.
"I just want to enjoy today and the next 24 hours and we'll get back to work tomorrow.
"My thoughts change. We know we haven't done well and it's not a surprise.
"Paul is the first one to say 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 change 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.
"I'm not ashamed or embarrassed to say it is difficult."