According to a report coming from The Times, the England international is a man in demand after impressing under Jurgen Klopp this season.
The midfielder is thought to be well aware of interest from around Europe but has never hidden his intentions to stay at Anfield for the long-term.
Lallana has two years remaining on his contract and is ready to open talks with the club about a proposed extension.
The report suggests that qualification for the UEFA Champions League could play the pivotal role in whether or not the former Southampton man decides to renew his current deal.
The 28-year-old has scored seven goals this season and has set up a further seven for his teammates.
He has been in fantastic form this season playing in a midfield role and Klopp will be keen to tie him down to a new deal.