The 25-year-old van Dijk, who is currently nursing an ankle injury, has grown in influence at Southampton this season with local media linking him to possible moves to Liverpool and Manchester City.
"Virgil is very committed us for a long time and we don't see anything but that in our future," Krueger told British media.
"He is our team captain and we don't see him anywhere else than in red and white stripes," Krueger said following Sunday's 3-2 League Cup final defeat by Manchester United.
The south coast club have allowed players including Sadio Mane, Morgan Schneiderlin, Adam Lallana and Victor Wanyama to leave St Mary's but Krueger predicted a quieter summer for the club.
