Gus Poyet is happy with his summer squad rebuilding, but has told seagulls.co.uk he wants to improve by adding strength in depth, and is stepping up his quest to add at least three new faces before the season starts.
Speaking at Albion's Albufeira training base, the Albion boss said, "In the last two or three days we lost out on a few of our targets, but we have intensified our work.
"We are still working really hard with the chairman and head scout because we need to make sure that we get the players as soon as possible.
One long-term target remains so, but Poyet says Albion must wait on Newcastle United to clinch a potential deal for speedy winger Kazenga LuaLua.
"Kazenga LuaLua is close one day but the deal seems far away the next; I don't know what is going to happen, but I think we still have a good chance of bringing him in."
Meanwhile Poyet believes he has a potential 20-goal-a-season striker present in his squad ahead of the new League One campaign.
The Seagulls lacked a consistent free-scoring striker last season, but he hopes at least one of his existing strikers can hit the 20-goal mark in 2010/11.
"I have got a good feeling that the striker that we need to score 20 goals is already here, but the problem is that we need to prove that.
"I can say that the strikers we have here will all have the chance to be that goal scorer we are looking for. Glenn Murray, Ashley Barnes, Chris Holroyd and Gary Hart will all have their chance to score 20 or more goals but they have got to take their chance.
"That is not something that I can do for them. However we would like another player who has proven he can score over 20 goals in a season at this level."
Former loan signing Lee Hendrie looks set to join Aberdeen, but Poyet has ruled out a subsequent move for him if he doesn't agree terms with the SPL side, as his priorities lie with other positions.
"Unfortunately for Lee Hendrie, we told him we couldn't offer him anything so he looked at other clubs, and now looks like he will sign for Aberdeen. We were in touch for a while but you have to negotiate situations and salaries.
"We have players in the midfield who play the same position as Lee Hendrie, and I didn't want to take a risk before we signed the other three or four players we still want to bring in. He didn't want to wait, which is fair enough and he won't be joining us."
