The former England international has been absent from the Blues' last two games with the injury, which is likely to keep him sidelined for a further two or three weeks.
The centre-back had only just returned from a six-game spell on the treatment table with a hamstring problem when he suffered a fresh injury.
On Instagram, the 35-year-old insisted that he is "working hard" to get himself back on the pitch.
Alongside a picture of himself in surgical scrubs, Terry wrote: "PRP Being injured is the most frustrating thing as a player. Working hard to get back fit."
A photo posted by John Terry (@johnterry.26) on