Adam did not feature in the Reds' 3-0 opening-day defeat at West Brom as rumours of a move to Craven Cottage continue to circulate.
The Scot was discussed, along with Stewart Downing, as a possible makeweight in a deal for Clint Dempsey but is adamant that he wants to remain at Anfield for several years.
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"I am happy at Liverpool and why would I leave after a year? There is no point.
"I am open enough to say I have had a conversation with the manager but for me I'm not going anywhere.
"I am playing with some of the best players in the world, I have a good coach, good manager, and I am learning every day from what he is doing.
"I want to play this year and hopefully I get the opportunity to do that. It is a big season for everybody.
"For us at Liverpool it is a big season, we have got the Europa League and we want to improve on what we did last year in the league."