The £25m signing from Southampton picked up a knee injury in just his second training session with the Reds.
And he looked far from his best yesterday as he faced Everton in the Merseyside derby but it was still the best performance of his in a Liverpool shirt.
“After every game I’m feeling more comfortable,” the winger said.
“I just want to keep working hard and I still feel I can improve even more, get better and put in better performances.
“I don’t want to make excuses, but I did miss pre-season. It’s a valuable part of getting the rustiness out. It’s just going to be with game time now.
“Because of the injuries we’ve had, I’ve probably played a lot more than I would have done coming back from injury. But it has been great – that’s what you need as a player.
“I felt great out there, fitness-wise, and it’s just disappointing we couldn’t get the three points.”
Steven Gerrard put Brenden Rodgers’ men ahead yesterday afternoon before Phil Jagielka stunned Anfield with a long range effort to earn his side a point.
And Lallana was impressed with the way his side reacted to conceding the late goal, he added: “We said during the week we needed to improve and play at a high tempo. I felt we did that – we moved the ball quicker and created more chances.
“It’s just disappointing we couldn’t take a few more of them. We were more solid defensively from set-pieces. So there are positives, but they are going to be clouded over with the result unfortunately.
“It was really frustrating – it was almost the last kick of the game. We thought we played a lot better and there were a lot of improvements.
“Possibly we should have been two or three goals ahead, so we should have taken our chances. You always leave the opposition with a chance with it just being a single-goal margin. We’re absolutely gutted.”
By Phil Wellbrook