Southampton are not anticipating making wholesale changes in the January transfer window.
Although the Saints aren’t expecting to be particularly active in the new year, Koeman says his side are on the hunt for potential new additions.
The Saints have made an indifferent start to their Premier League campaign, and they would like to increase their options up front.
“We are looking,” he said. “Always we are looking what we can do to make the squad stronger.
“But we’re not about to do many changes in the team. If we need somebody it will be an offensive player. The rest, we have really good competition in our squad and you know that nobody is for sale.”
Southampton are currently in 12th place in the Premier League table, leaving room for improvement.
The Saints have netted 21 times in their 15 league matches so far this season, making them the top-scorers in the bottom half, but Koeman clearly still wants to add to his options.
With Jay Rodriguez out injured, the Saints could be caught out up front if too many more of their attacking players pick up fitness problems.
One of the players that Southampton have been linked with in the Daily Mirror ahead of the January window is Brighton & Hove Albion winger Solly March.