In his column in The Times, the Newcastle Falcons said: "I cannot help to speed the rehabilitation process because it is the nerve that is damaged.
"Unfortunately it is a situation where getting up earlier, working harder for longer and making sacrifices will not change things.
"I'm trying to be most professional in my quest to come back fitter and stronger than ever.
"The operation was a success, the surgeons were brilliant, and for the first time since I was 16 I will play rugby with no neck pain."
Wilkinson, whose last-gasp drop goal helped England beat Australia to lift the Webb Ellis Trophy in November, added: "I see it as a brand new start, a clean slate.
"I have taken two days off since the injury and those were my two days off in hospital for the operation."