Defender's verdict on Sunderland future, League One and why relegation happened
Oviedo, who has not featured since the 2-2 draw with Reading due to injury, is hoping for a successful world cup with Costa Rica this summer.
In an interview with La Nacion, Oviedo admitted he is unlikely to stay at the club.
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Hide AdHaving signed in the Premier League era, the Black Cats are certain to be open to offloading the 28-year-old.
Oviedo said: "I've nothing concrete.
"I have to talk to the club and my representative to see what the plan is. It is a great club and I know they will want to get back to the Premier League.
"[League One] is a very difficult league for me because it is very direct... it is not suitable for me."
Oviedo, who said he felt he personally had performed well this season, added that he thought a lack of investment had proved crucial this season.
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Hide AdHe said: "This year was difficult because they did not want to sign new players to help us.
"Most of the signings were loans, which made everything complicated.
"They are very young [players] and in this league you need experience."