Sunderland boss Mick McCarthy has ended his pursuit of Wolves striker Kenny Miller after having two offers for the Scottish international rejected.
Miller is keen to leave Molineux
The Black Cats manager put in bids of £1m and £1.2m for the 25-year-old forward, who is on the transfer list at his own request.
McCarthy said: "We made a bid, it has been turned down and that is it.
"We are not planning on going back and offering any more money, so as far as I am concerned, it is finished with."
Wolves are keen to keep Miller - even if it means losing him on a free next summer when his contract runs out.
McCarthy, who has spent almost £2m on strikers Jon Stead and Daryl Murphy this summer, is refusing to meet Wolves' £2m valuation of the player.
The Black Cats boss has already missed out on Watford's Heidar Helguson, who opted to join Fulham, and Portsmouth striker Ricardo Fuller, who failed a medical.
"I am still looking for players," he added. "I am not going to suggest who I am looking at or what position I am looking at because if I do, I will have every agent ringing up.
"I am still looking around, but if the season was starting on Saturday, I would be happy to start with what I have got.
"With the transfer window, it is a different ball game this year. We need a good squad of players.
"If we do get problems, injuries, suspensions, we cannot replace any this year, so I am still looking at it."
McCarthy has been boosted by the return of Scottish international Kevin Kyle to training.
Kyle is hopeful of avoiding a second operation on a long-standing hip cartilage problem.
"He is training, so we will just see how he is," said McCarthy. "That is all we can do. He is training and we will just take it on a daily basis and see how he is.
"I hope he will be magnificent this season and fully fit, but at the minute, he is training and he is OK. He is getting through it, he is fine. I have not planned beyond that."
McCarthy is unsure whether Kyle will make their pre-season tour of North America next week, but transfer-listed duo Sean Thornton and Michael Bridges will not make the trip.
The manager is also waiting to see whether to offer a new deal to out-of-contract midfielder Colin Healy, who has been out of action since breaking his leg in December 2003.