The Premier League side recently enquired about the 22-year-old, but Jewell claims that there have been no developments.
"There has been no interest in Cresswell," he told the East Anglian Daily Times.
"We have had no contact from Aston Villa other than a gentle enquiry I told you about three weeks ago.
"We have had no interest about any of our other players. That could change but I am more interested about bringing people in than moving people out."
Cresswell joined the Tractor Boys from Tranmere Rovers last summer.