Rhodes has been loaned out to Oxford, Rochdale and Brentford but believes the time has come to make his mark after Keane turned down an offer for him from an unnamed club this summer.
He told the Evening Star: "I don't see why not. I have to reach for the stars.
"I signed up for Ipswich Town and they play in the Championship week in, week out so I have to rise up to that level.
"If I don't rise to that level then that is the manager's decision."