Albion last night turned down Leicester City’s latest bid for Leo Ulloa.
But the Foxes are expected to retain interest in the Seagulls striker after seeing an offer believed to be in excess of £6million knocked back.
Ulloa is currently hard at work with the Albion squad in Spain, where they face Partick Thistle tomorrow in their second pre-season friendly of the summer.
The Foxes are convinced the lure of top-flight football could help them land the Argentinean, who is keen to play in the Premier League.
But Albion have insisted they have no pressing need or desire to sell.
Other clubs are likely to be interested in Ulloa, which would make it in Leicester’s interest to tie up a deal as soon as possible as the Premier League transfer market starts to crank into gear.
Leicester made their latest bid just a day after securing their out-of-contract top scorer David Nugent on a new two-year deal.
The Argus have been told it is not necessarily a final offer.
Albion boss Sami Hyypia last night told fans he was working hard to add to his squad.
Hyypia said: “We will inform everyone when we are 100% sure something happens.
“We are working every day for it.
“I’m in contact with (chief executive) Paul Barber and (head of football operations) David Burke every day and I am waiting for good news.”
Meanwhile, Bristol City manager Steve Cotterill has played down the absence of striker Sam Baldock from his team's midweek friendly.
Baldock was subject of an undisclosed bid from the Seagulls recently and trained on Wednesday rather than featuring in the game against Weston-super-Mare.
Cotterill insisted Baldock would be ready for action when City go on pre-season tour to Botswana.
He said: "He's our player. He just needed training minutes under his belt."
Albion's development squad play a friendly against Japan under-21s at La Manga today (6pm BST).