Lallana, 32, is out of contract with the Premier League champions this summer and is close to agreeing a three-year-deal with Albion.
Liverpool signed Lallana from Southampton for £25m in July 2014 and he made 178 appearances in which he contributed 22 goals and 22 assists.
During his time on Merseyside he won the Premier League, the Champions League, the Fifa Club World Cup and the Uefa Super Cup in his six-year spell at Anfield.
Brighton technical director Dan Ashworth has pursued Lallana since January and the club believe his playing style and professionalism is a perfect match and that he will be a positive influence on the younger squad members.
He will arrive on a free transfer but his wages could be in the region of £90,000 per week, which would make him the highest paid player in the club's 119 year history.
Brighton are expected to confirm his signing early next week.
@GavinGeddes17: Adam Lallana a good signing for The Mighty Brighton and Hove Albion? 3 year deal of £90,000 a week for a 33 year old. Time will tell but a step in the top ten finish direction.
@jstockbridge1: Adam Lallana contribution to #lfc rise under Jürgen Klopp, well documented. Legions of fans sad that’s he’s off. Great engine, smart one-two player. Huge, huge coup for #bhafc
@TheBrightonBard: Adam Lallana, Rhymes with banana, Can’t play well if he’s smoking a Havana. Signing soon, Probably Monday afternoon, Great work everyone and thank you Tony Bloom.
@BrightonAreBack: Just 4 years ago Adam Lallana won England national side player of the year. What a signing for a ‘team like Brighton’ #bhafc
@JournoHaff: Adam Lallana will be such a good fit at #BHAFC. Not just on the field, but off it too. A major thing promised to the 32 year-old is that he will have a leading influence in the dressing room. We had competition, but Ashworth worked his magic and Brighton will have a UCL winner.
@JBizzleBeard: Adam Lallana is a very good signing for us. Just as long as he can stay injury free of course. #BHAFC
@Oaks199: Surely Adam Lallana is a groß replacement rather than a Stephens replacement given the options in Groß position rather than Stephens. Having said that wouldn’t surprise me they both left. #bhafc
@Luke_Usherwood: If you told anyone 5 years ago that Brighton would be signing Adam Lallana on a free transfer, you’d have been laughed out the building, what a piece of business to show how far we’ve come #bhafc
@Walker_this_way: How are we in a position to sign someone like Adam Lallana, never thought I’d see the day #bhafc
@dylancolepol: Excited about Adam Lallana, hopefully a real coup as Potterball enters season 2.
@poddys: Should be a good move for #BHAFC and Adam Lallana too.