Either side of Matt Smith's first-half double Luis Suarez scored his 21st of the season but early in the second half Reece Wabara headed in the Latics' third and Joe Allen's first goal for Liverpool proved little consolation.
Despite the win Dickov's future remains under threat after one point from eight games has left the club dangerously close to the League One relegation zone.
Chairman Simon Corney refused to comment on the manager's future despite growing speculation he could be poised to wield the axe and Dickov, who last month saw most of his backroom staff sacked, was not keen to talk about it, saying: "Let me enjoy this first.
"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."
On the result itself he added: "I'm proud of the players and the performance they put in. To put that in against a team of world-class players was fantastic.
"I know what they are capable of. I just thought the desire they had to win the game was the reason we won it.
"I've won a European medal, I was involved in FA Cup finals, played for my country, scored at Wembley but after everything that has gone on recently that was right up there at the top."