Sky sources understand that Brendan Rodgers is set to table a bid for the 25-year-old England international this summer, and the Reds are thought to want to settle the deal before the World Cup.
Ahead of Southampton's final game of the season at home to Manchester United on Sunday, Argentinian Pochettino, whose future at the club also appears uncertain, said he was only aware of what has been reported in the media.
"I pretty much have the same information you have. The club has not spoken to me officially about anything (regarding Adam)," he said.
Liverpool boss Rodgers, whose side can still win the Premier League title on the final day, also refused to comment on the player.
"I saw the reports," he said. "But I would never, ever mention another player at another club.
"Adam is a terrific young talent but it's purely speculation and, for us, there is always speculation about top young players."
Southampton insist they have not received any official bid for Lallana, who has just been named the club's player of the year.
Lallana has scored nine goals in 37 Premier League appearances this season, with six assists, and has created 69 chances for a team which also includes England prospects Rickie Lambert and Luke Shaw, with Jay Rodriquez ruled out of the tournament through injury.
Meanwhile, Pochettino distanced himself from reports he is in line to succeed Tim Sherwood as Tottenham manager this summer.
"I'm here, no? I have the same goals and the same wishes and I want to be successful, ambitious and always improve as a manager," he said.
"Many things are spoken about and there are a lot of rumours flying around right now.
"This Sunday a project of five years will come to an end and then it is up to the board to discuss with me the new project I will be starting next season.
"It's not really up to me to decide when those talks happen but the club overall has to explain to me what this new project is going to consist of and how it is going to start next season."
Find out who makes the World Cup cut live on Sky Sports News and via the Sky Sports Today live blog on Monday
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