Terry is taking time off to address personal issues in light of the continuing media storm over his private life.
Wilkins said: "He will not play this weekend. Carlo is giving him a bit of time off.
"He will come back and prepare for our game against Wolves on the 20th.
"They just had a little chat, John and Carlo, and decided that would be the best for all concerned."
According to reports, Terry is now set to fly to Dubai to meet up with his wife Toni, who left the UK soon after the revelations became public.