Moore has been recalled by the Championship club after a brilliant loan spell with the Millers, where he scored 13 goals.
Town boss Mick McCarthy hinted he would get a chance to impress at Portman Road, but Warne believes the striker will now be sold, with the Millers already lodging a bid.
“I know they are going to be selling him, we have got a much improved bid, I am led to believe it is one of the best,” Warne said.
“They will come back to us, in the ideal world if I am not going to get Kieffer I would like to know now.
“But I have got a funny feeling it will drag on for a few weeks, it’s not just us that know about him.
“He is scoring all the goals, everyone knows him. I know there are three other clubs in for him in our league, we have got competition.
“Kieffer wants to come back. I am well aware of what an effect he had at the club, so if we can get him back, we will.”
Warne is ready to break the club’s transfer record on the 25-year-old, but there will be a limit.
“There is room for negotiation, but we will go to what the value is and what we can spend,” he added.
“If someone comes in with crazy money then we are not going to compete.
“If someone offers crazy money they will back that up with crazy wages and I’m not going to have a player on double what the next best is on, I will not have that at this club.
“I am hopeful of getting him, I am speaking to Mick every other day. Fans can rest easy that we are trying our best and if that isn’t good enough, then so be it.”
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