Portsmouth chief executive Peter Storrie has indicated it is unlikely an improved bid will be lodged for Gary O'Neil.
The Middlesbrough midfielder is known to be keen on a return to the South Coast but Pompey's £4.5million offer for the former Fratton Park favourite has been rejected.
Middlesbrough are adamant they will not be a selling club in the transfer window, having informed Tottenham they have no chance of luring Stewart Downing away from The Riverside.
While Storrie claims Portsmouth are in the market for a number of signings following the high-profile sales of Jermain Defoe and Lassana Diarra, he believes the club's offer for O'Neil represents a fair price.
"We made what we felt was a fair offer for Gary O'Neil and we think it's a fair price," he told Sky Sports News.
"Myself and Tony (Adams) have discussed it and we'll have to see how it goes, although I don't know if we'll be improving that price.
"We know our targets and are working on them in the usual manner. We hope to do something early next week.
"We're looking to bring in three players and a couple on loan with options. We've always been successful doing that in the past.
"We hope to bring in four or five players."