Liverpool and Sunderland are among a list of clubs in recent weeks to have been linked with the 18-year-old, who is currently away with Stuart Pearce's England Under-21 squad at the European Championships in Denmark.
Jewell told the club's official website: "Everyone seems to be talking about Connor, but there's been no bid for him.
"We've had enquiries, but enquiries don't mean anything. I could ring up Barcelona and enquire about Lionel Messi, but it doesn't mean I'll get him.
"Connor is happy here and as far as we're concerned he'll be with us for next season. The good thing is that we don't have to sell anyone."
Wickham made his first-team debut for Ipswich as a 16-year-old against Doncaster in 2009.