Saints have picked up an impressive haul of four points from away games against Manchester United and Arsenal in their last two fixtures.
The Hammers are next up for Koeman’s side and the Saints boss wants his players to make the most of the momentum they have built up.
“I think it’s a massive point [against Arsenal] and the fourth clean sheet in a row is a very important reason to be satisfied about the team and to go on,” Koeman told youtube.com/southamptonfc
“The next game is waiting on Saturday and we’re in a good position. I think the confidence is back and we have a lot of competition. That makes the team stronger.
“Normally you don’t get these points against big teams, but now we have a home game against West Ham United.
“We were a little bit unlucky against them away. We were the better team and maybe deserved more.
“Maybe Arsenal deserved a little bit more. They had enough chances, but that’s football sometimes – it’s not so easy to explain.”
Koeman is also confident striker Charlie Austin will be available again for the Hammers after not being risked against Arsenal.
“It was too risky to take Charlie to Arsenal and even to put him on the bench to get him 20 minutes,” Koeman added.
“After what he had with five or six weeks out with QPR, it’s not the time to take that risk. Normally he’s available for the weekend.”