The £25 million summer signing suggests there is more to come from him.
Lallana missed the first three games of the season, as well as a chunk of pre-season because of a knee injury he picked up on the tour of the United States, but seems to have a positive effect on Brendan Rodgers' side, and opened his goalscoring account against West Bromwich Albion at the start of the month in a 2-1 win.
He told the official Liverpool website: "There's still more to come. I feel it's going to be a gradual process.
"There are lots of games coming, so hopefully my best form is not too far away. I knew it wasn't going to be easy joining Liverpool, but it's an opportunity I am delighted to have. I wouldn't change it for the world.
"The fans are absolutely great here. They get behind the team and the players hugely - that's one thing I have noticed.
"I'll always give it my all and work my hardest, whether I'm playing well or not. That's an attitude that filters through the squad. It's an honest group here and I can assure you we're working hard in training day in, day out to put it right and get good results."
Despite an indifferent start to the season, Lallana has come across one big positive in recent weeks, and that's Liverpool's ability to score late on in games - which was on show against Swansea City in the League Cup on Tuesday night as the Reds won 2-1.
He said: "It showed the lads have got immense character and belief. I thought we played well and didn't deserve to be 1-0 down. It was great for Mario to come off the bench and get his goal, and for Dejan to open his account in the final minute.
"It always gives you a lift [winning like that]. It gives you that extra bit of belief and that good feeling coming into the dressing room at the end when you've won a game in the last minute."
With Liverpool facing a big week ahead with a trip to in-form Newcastle United tomorrow before heading to Madrid to take on Real, quickly followed by a huge Premier League clash against Chelsea, he is likely to have a big role in trying to unlock some defences in what are expected to be pretty tight encounters.