Southampton have recovered from their recent sticky patch with comfortable back-to-back victories over Watford and West Brom, scoring five goals in the process while conceding none.
On Saturday they head to Manchester United, the scene of a memorable 1-0 win last season which was their first success at the Theatre of Dreams in 27 years.
Koeman remains wary of United, who despite their struggles this season kept themselves firmly in the hunt for a top-four finish with a 1-0 win at Liverpool last weekend.
But the Saints boss but feels his side are capable taking another three points to pile more pressure on United counterpart and fellow Dutchman Louis van Gaal
"I don't talk too much about Manchester United because everybody is talking about Manchester United, and they had a big result last weekend," he said
"They are strong
Maybe they don't score a lot of goals, but they don't concede a lot
I t's difficult to beat United
"They are a team with a lot of strengths but also a team with some weaknesses, and we know because earlier this season we were very close to having a better result than losing 3-2, and we have the experience of winning after 27 years at Old Trafford
"We know we can beat them but we have to be really good in all the aspects of football."
Saints' revival has been built on the foundations of a switch in formation to a back five.
Full-back Ryan Bertrand has impressed after moving inside as one of three central defenders, with youngster Matt Targett flourishing further forward at left wing-back.
"I put Ryan in that position in the last two games because then I have really a left foot when we like to build up," added Koeman.
"I was very happy with the way Targett trained and played in the under-21s
He's a young player and it's difficult for him because in front of him is an England international.
"Ryan can play out of that position because he older, more experienced, and in my opinion a good defender.
"One of his best qualities is playing from the back and he has really a good left foot on that side, and that was important to have."
Koeman has added Charlie Austin to his squad following the striker's Â£4million switch from QPR
Source : PA