Moses joined Liverpool on a season-long loan from Chelsea on transfer deadline day.
Moses scored in Liverpool's 2-2 stalement with Swansea on Monday.
"Look at the way we've started, and we're still unbeaten. I believe we can win the title," Moses told the Daily Star.
"There's enough quality players here that can win us games and help us to win the Premier League.
"A lot of people are saying that Liverpool can finish in the top four, but we believe in ourselves as footballers.
"We're very confident, not just me but the other players, that 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."