The former Barcelona atacking midfielder has scored four times for Town since joining on loan from Tottenham, and Keane admits that the Mexican international is too good for the level he is playing at.
"You always have to have hope but I have to say if Tottenham were looking to do business then there will be plenty of clubs queuing up for him." said Keane in the post-match press conference.
"I spoke to the lad the other day and it is clear he has plenty of options. You can see why because he is a talented boy
"I will be planning ahead without Gio. It is fairly unrealistic that we can bring him to Ipswich.
"I know Harry likes to wheel and deal but I don't think Ipswich would be in there. I feel Gio will be playing at a higher level than the Championship."
Click here for a game by game rundown of Gio's time with Ipswich Town.