Lallana's burgeoning reputation has sparked speculation linking the 25-year-old midfielder with the likes of Premier League champions Manchester United and title-hopefuls Liverpool.
|13/2||Southampton are 13/2 with bet365 to be winning at HT & FT v Everton|
"I think Adam and other players are going to stay with us, there is no intention to sell them," Pochettino told reporters.
"In the case of Adam, he is happy with us, he has shown he is happy at Southampton and the club has no intention of selling this player."
Pochettino, who took charge last January, is enjoying his first taste of the hectic December fixture list in English football and confidence is high at Southampton following the 3-0 win at Cardiff City on Thursday.
He added: "Right now, I'm enjoying football more than ever. We're getting to do what we like and we're thoroughly enjoying this busy period.
"The fans are also enjoying this moment so that makes it even better for us. For someone who is really passionate about football this period is amazing, it is a new experience for me and I'm thoroughly enjoying it."