Colkett is currently contract with Ostersunds in Sweden, where he played for Brighton manager Graham Potter.
He is currently taking a step back from the game.
OFK sports chief Adil Kizil announced yesterday: "We have given the ok that he trains with Coventry, it is a good solution. We have a good dialogue with Charlie, who is a professional football player and it is important for all parties that Charlie keeps going.
"When we know something more to tell about Charlie, we will give information, but I can say that we have an ongoing dialogue with Charlie."