Read: Liverpool v Southampton match report
Raheem Sterling is already focusing on the Anfield club's battles with Manchester City and Spurs in August after seeing off Southampton.
"If we play our normal
game, we'll be fine in those two games," the pacey forward told Liverpoolfc.com.
"Today we showed courage and that's what we need to show at
City next week."
"We'll
go out and play our usual game, and hopefully we can get the three points.
"Last
season we had a tough start as well but we got the wins." said the Liverpool starlet.
"That's what we're looking to do, taking it game by game. We'll go out there next week and try to do our best and get the three points again."
“We’re very disappointed because we deserved much more than we got with the final score, but that’s football,” Koeman told saintsfc.co.uk.
“Steven Davis’s chance was maybe the biggest one – at that point Liverpool were down and didn’t have the control they had before. When that’s the case, you have to score – but we didn’t. " added Koeman.
“Instead they made it 2-1, and that’s part of football – goals are what count towards results and earn points.
“That’s a pity, but I’m proud of the team and how we played today. It’s a big step forwards.”