The Saints are currently in sixth place, but Koeman insists that breaking into the top-four is not something that has crossed his mind.
Instead, the Dutchman says that as long as they qualify for the Europa League it will have been a great season for the club, and he has adjusted his aims as a result.
"No, we don’t think too much to the Champions League," he said. "We hope that the seventh place on the table maybe that means European football and that will be fantastic for us.
"Of course the Champions league is amazing to play and be involved but we know our situation and we know our qualities and if it’s Europa League then that will be great for us."
For Southampton to break into Europe after Koeman's first season in charge would be a brilliant achievement for the south coast club.
The Saints lost a number of their key stars last summer, but they responded admirably and seem to have actually grown stronger.
The challenge for them now is to ensure that their good work over the first-half of the season is not undone by seeing the season out strongly.
Southampton's form had dipped over the early part of 2015, but they seem to have rediscovered their best over recent matches and optimism is flooding back to St. Mary's.
The Saints' draw with Chelsea, followed by a win over Burnley, has put them right back into the thick of the race for the top-four and although Koeman was trying to rein in expectations today, Southampton fans can still dream about making it into the Champions League for a while yet.