Terry is set to become a free agent in the coming days, following a 22-year association with the Blues, and a number of clubs are said to be chasing his services.
Jenkins said: "I know Paul has spoken to John and his agent. I don't know what his preferences are because he has options and will go with what suits his family.
"We are well covered in that area and quite strong but I know there is interest with Paul and he spoke with John and his agent himself.
"When Paul knows a players well it is an obvious one for us. Sometimes it works and sometimes it doesn't but we will always try and do that."