The Costa Rican made his Premier League comeback in the loss to Manchester United on October 5 after breaking his leg in January, but he has been out of action since having a screw removed from his leg a few days later.
However, Oviedo claims that the procedure has had the desired impact, and he is hopeful of becoming a key figure in Roberto Martinez's side as soon as possible.
"I feel much better right now after I've had the screws taken out," the 24-year-old told members of the media. "It's fantastic because before they stopped me when I ran but now I feel much better and I hope to be ready for the next games. Now I want to play.
"Sometimes it's difficult when you come back from a long injury, but at the moment I feel very good and I hope to play as quickly as possible."
Everton host Swansea City at Goodison Park on Saturday afternoon.