It is hard to see Oviedo staying at the Black Cats this season, and there has been speculation that clubs are interested in the Costa Rica international.
The Northern Echo reported last month that there has been interest in Oviedo - who can operate as a left-back or as a left-sided midfielder - but Sunderland are yet to receive an acceptable offer.
Sunderland manager Ross has admitted that 28-year-old Oviedo could leave this summer, despite the Premier League transfer window now closed.
Ross told The Northern Echo about Oviedo: “I think he, like a number of players, will have his own ambitions and aspirations in terms of the level he plays the game.
“The contractual aspect is probably above my level, naturally as a manager you just want to pick the best players you have but I have always had an understanding of the economics of it.
“Can I say without absolute certainty he will still be here at the end of the month? I couldn’t but I would probably say that about all the players who fall into that bracket.”
Oviedo is a very good defender, and there is no doubt that the Costa Rica international will be an asset for Sunderland in League One this season.
However, the former Everton left-back is good enough to play for a top club in the Championship, and it is very likely that he will leave the Stadium of Light this summer.