The Reds have recorded two victories and two defeats in the Premier League so far, as well as a 2-1 victory over Ludogorets Razgrad in their Champions League group opener on Tuesday night.
"We've got some big games coming up - big league matches, a big match against Basel - they're coming thick and fast," Lallana said in an interview with the club's official website.
"That's a difference I've noticed as well - when you're in the Champions League, there's just one big game after another. It's great, it's what you want as a footballer performing at the elite level.
"It's what you want to be doing. You want to be playing with the best players because you'll have a greater chance of winning games and trophies."
Tomorrow, Liverpool will return their attention to the league with an away clash against West Ham United.