Mauricio Pellegrino is looking for more killer-instinct from Southampton after they were held by Brighton.
The Saints boss was frustrated after his side threw away an early lead, given to them by captain Steven Davis, to draw 1-1 with their south-coast rivals.
Victory would have lifted Southampton to seventh, but Glenn Murray hauled Brighton level with a header at the start of the second half.
“We are a little bit disappointed because we did the difficult thing and went in front,” said Pellegrino.
“But when you allow the opposition to come back in the Premier League any team can create problems.
“My feeling is we competed well, but when we are controlling the situation we have to play with more determination to score the second goal and kill the game.”
Saints went ahead after James Ward-Prowse launched a curling free-kick which beat home goalkeeper Mat Ryan but crashed back off the crossbar.
Northern Ireland midfielder Davis reacted quicker than a static Brighton defence to head his second goal of the season.
But Murray, who was being unfavourably compared to former Southampton hero Rickie Lambert by the away fans, responded in the best way possible.
He out-jumped full-back Cedric Soares to meet a Pascal Gross cross with a header which Fraser Forster got a hand to but could not keep out.
Forster seemed a little slow to get across to the ball but Pellegrino defended his keeper.
He added: “It was unlucky, the ball deflected off Cedric’s head and surprised our goalkeeper.
“That’s football. From the outside every action looks simple, but from the inside every action is completely different.”