Lambert has yet to get off the mark but is sure he will get the chances to score his first goal for his boyhood club.
Lambert has made just the two starts for his boyhood club, who he moved to in a £4 million deal at the start of the summer, with most of his appearances coming from the substitutes bench.
Some at the Etihad Stadium in August thought he got off the mark in the 3-1 defeat to Manchester City, only for his header to be saved by Joe Hart, with the ball ricocheting off Pablo Zabaleta into the goal.
He has had his opportunities, including a couple of chances on his first Premier League start in the 2-1 win over West Bromwich Albion, but it isn't just about getting goals right now for the Reds' forward.
He told the club's website: "Personally, I've tried to focus on getting myself fit and sharp for when my moment comes. Whether I'm starting, or whether I come off the bench, I want to contribute the way I know I can contribute.
"It's a long, long season and I know there's going to be a lot of opportunities for me coming up. I'm confident now that I'm more than ready for when the opportunity comes.
"I've missed a few chances, which I look back on and I know I should have scored. But I try not to beat myself up too much. I might have done that in the past a little bit too much.
"I'm trying to relax a little bit more and just believe in my ability, because I know I'm good enough and I'm working hard enough. It's not too far away, the first goal. Whenever that comes and whatever way it comes, it's going to push my confidence even higher."
With seven fixtures in the space of three weeks coming up for Liverpool, there are likely to be at least a few cameo roles for Lambert in the near future, and possibly a couple of starts with the League Cup game against Swansea City bound to be a game when Brendan Rodgers freshens up his side.
There is an undoubted will from everyone that Lambert gets off the mark sooner rather than later as the new signings, along with members of last season's squad, have a lot of pressure to fill the 31-goal void left by Luis Suarez after his departure to Barcelona.
After the stuttering start to the new season, Lambert is hoping the Reds can kick on from their win over the Baggies on the international break and start climbing the Premier League table, after a start to the campaign which has seen them win three and lose three of their opening seven games.