The Nigeria winger has arrived on-loan from Chelsea.
"Look at the way we have started so well," Moses told the Daily Mail.
"A lot of people are saying Liverpool can be in the top four, but we believe in ourselves. We are confident we can be looking beyond the top four.
"This year is a lot different. If you look at the way the table is at the moment, anyone can win the league. It's not only about two teams, so why not Liverpool?"