The Black Cats have lost their first two games under Moyes, who replaced new England boss Sam Allardyce this summer.
Asked about supporters fearing another season-long struggle, he said: "Well, they would probably be right.
"That's where they've been every other year for the last four years, so why would it suddenly change?"
Patrick van Aanholt scored Sunderland's consolation after Cristhian Stuani's two goals for the visitors.
Moyes added: "I don't think you can hide the facts. People will be flat because they are hoping that something is going to dramatically change - it can't dramatically change, it can't."
The Black Cats' past four seasons have seen them finish 17th, 14th, 16th and 17th - often staying up thanks to late rallies. The 2010-11 campaign was the last time they did not change managers during the season.
Steve Bruce, Martin O'Neill, Paolo di Canio, Gus Poyet, Dick Advocaat and Allardyce have all been in charge in the previous five seasons.
Moyes added: "I don't think you can hide the facts. People will be flat because they are hoping that something is going to dramatically change - it can't dramatically change, it can't."
The Black Cats' past four seasons have seen them finish 17th, 14th, 16th and 17th - often staying up thanks to late rallies. The 2010-11 campaign was the last time they did not change managers during the season.
Steve Bruce, Martin O'Neill, Paolo di Canio, Gus Poyet, Dick Advocaat and Allardyce have all been in charge in the previous five seasons.
