Roy Hodgson believes West Brom 'perhaps have to start looking elsewhere' after seeing a bid rejected for Liam Ridgewell.
The Championship outfit on Tuesday confirmed they had rejected an offer from the Premier League side for the versatile defender.
Hodgson does not think the Baggies will be going back in with an improved bid, believing they had made a fair offer for the 27-year-old, who can operate at centre-back as well as left-back.
The Baggies boss told the club's official website: "We made our bid and we perhaps have to start looking elsewhere.
"I don't think the club is anxious to improve that bid.
"As far as I'm concerned it was an idea that came up and I thought it was a good idea at the price we thought would be a possibility.
"But if it's not a possibility then we'll have to move away.
"As I've said many times, we're not desperate to do business.
"If we're going to do it it's got to be at the price it will be in the summer and not the price it might be just because it happens to be January."
Ridgewell joined Birmingham from city rivals Aston Villa in a £2million deal during the summer of 2007 and has made 17 starts and two substitute appearances in all competitions this term.