An unparalleled summer talent drain led many onlookers to predict a meltdown at St Mary's, yet they have gone on to defy the odds and produce a remarkable season
Saints are pushing for a top-four finish in the Barclays Premier League with six matches to go, although that success has led the vultures to once again circle overhead
Clyne, out of contract next summer, is one such target and this week fuelled mounting speculation over a move to Manchester United by talking about his desire to play in the Champions League
Koeman twice won the competition as a player and fully understands Clyne's ambitions, and therefore the difficulty Saints may face in getting him to stay.
"It's up to the press how they take those kind of comments," the Dutchman said.
"I like to play Champions League as well but that's the aspiration for every football player and it's a normal aspiration
If you don't mention that, there's something wrong.
"We are still in talking with the agent of Clyney, but it's difficult
I read in the press there's some interest.
"Nobody knocked on the door with an offer for Clyne, but we know (he has) one season on his contract and we want Clyne to stay at the club.
"We need understanding for that but nothing else.
"We hope one day we will compare to the big ones, but that's difficult
We know our level, we know our possibilities.
"The club can't fight against big teams in the Premier League because the money and the possibilities of them are still much higher than we have."
Koeman's understanding will only last for so long, though, and the Southampton manager wants Clyne's future sorted before the end of the campaign
"We don't wait until the end of the season because you know if there is a player who is left one season of his contract then you have to do something," he said.
"Of course we have to do everything to keep the player in the team, but I like to know it as soon as possible - n ot in the last week of the season, but earlier on
"I mentioned April but by the end of April, the first week of May, it's good to know something about his situation."
Clyne will be hoping to start for Saints at Stoke this weekend, having been dropped to the bench for the win against Hull.
Filip Djuricic and Victor Wanyama will be absent for the trip to the Britannia Stadium, as will long-term absentees Fraser Forster, Emmanuel Mayuka and Rodriguez.
It is more than a year since the latter last featured for Saints, having ruptured his anterior cruciate ligament in defeat at Manchester City.
There is at last some positive news for Rodriguez, though, with the forward set to join up with first-team training for "some parts of the sessions" from next week.
"I hope that he can play a part in one of them maybe last one," Koeman said
"Maybe it will be on one side a tough one (to return in) because it is Man City and he got this injury against them
"That will be nice to end the season but the focus has to be next season and if he is part of one or two games this season it will be great for him, great for the team, great for the club.
"He is putting everything in to get back, but we are not in a hurry
If he comes back he has to be 100 per cent and that's most important."
Rodriguez's return to fitness will bring with it heightened speculation about his future.
Like Clyne and Morgan Schneiderlin, the 25-year-old has been linked with a move away from St Mary's, with the likes of Tottenham, Manchester City and Liverpool mentioned.
But Koeman said: "Of course I expect we don't sell the player
The player didn't play in my first season as a manager.
"He's good guy, a positive one and a good player, and maybe that will be the best transfer what we can do for the next season."
Source : PA
Source: PA