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The Reds are likely to offload more players before the Premier League season begins but the German is increasingly confident with the state of his squad.
Jurgen Klopp has expressed his excitement at the "special quality" he believes is now in the Liverpool dressing room as the return of the Premier League draws near.
The Reds take on AC Milan in Santa Clara on Sunday in their second International Champions Cup fixture, with their opener at the tournament ending in a 1-0 defeat to Chelsea.
After games against Roma and Barcelona followed by a non-ICC meeting with Mainz, Klopp's team resume domestic action with a crunch clash at Arsenal.
And while Liverpool are likely to further trim a large squad between now and the end of the transfer window, the German is increasingly confident when it comes to the options at his disposal.
"This is my squad now, and after all the transfers, this time it is my team," he told reporters in California. "There are probably no players here anymore that I don't want. There are no signings I didn't want, we have not sold anyone I didn't want to [sell].
"And if you have seen them in training, there is a special quality that we did not have last year - above all, you can see we have created a special atmosphere.
"Not only in our team but with our fans. Sometimes in this world things are more apart than before. But if you bring all this together? England is a very romantic country. Tradition is very important.
"And it is tradition to come together with the supporters when they are lost. I really like this. It can be really important for us."
Klopp is likely to field a mix of first-team regulars and younger players, as he did against Chelsea, with Jordan Henderson, James Milner and Simon Mignolet in line for their first starts of pre-season.
Milan got one over their former coach Carlo Ancelotti by beating Bayern Munich on penalties in their first ICC contest after a 3-3 draw.
They have tasked ex-Fiorentina and Sampdoria coach Vincenzo Montella with restoring their fortunes after another disappointing season ended in a seventh-place finish in Serie A.
Montella hopes to guide the Rossoneri back into the Champions League with an exciting, attractive style of play and was pleased with the attacking fluidity of his team against Bayern.
"It was a well-played game, and I'm very happy because we troubled Bayern," he said. "This is a small foundation to carry on our work with even greater conviction.
"It was an excellent game, when taken in relation to the quality of our opponents. What I liked the most was the sacrifice shown by the team.
"You can tell that the team wants to develop and work hard. This is a group that is getting ready to build something. Our objective is to produce pleasing football and that's contingent on keeping control over the game.
"In any case what matters is the performance, not the result. We knew how to take pressure and this I find particularly satisfying."
Ex-Liverpool youngsters Gabriel Paletta and Suso could both feature in a Milan side likely to be closer to full strength than their opponents.
Carlos Bacca, who has been heavily linked with a departure, and Mattia De Sciglio are among those who have stayed in Italy to build up their fitness while Jeremy Menez is reportedly set to join Bordeaux.
By Dejan Kalinic
Liverpool defeated AC Milan at the International Champions Cup as Divock Origi starred off the bench.
Divock Origi had an instant impact in his first game this summer for Liverpool, scoring in a 2-0 victory over AC Milan at the International Champions Cup.
The Belgium international came on at half-time and netted just before the hour-mark at Levi's Stadium in Santa Clara, California on Saturday.
Origi, who had been away at Euro 2016, produced a sublime finish into the bottom corner, before fellow substitute Roberto Firmino also struck.
Sadio Mane, impressive in patches, should have scored in the first half, while M'Baye Niang had a great chance for Milan shortly after Origi's opener.
Jurgen Klopp made numerous changes to the XI he started with in a loss to Chelsea, including handing recruit Georginio Wijnaldum his debut.
Simon Mignolet replaced the injured Loris Karius in goals, while James Milner started at left-back and Daniel Sturridge was also in the XI.
After beating Bayern Munich on penalties, Milan stuck with most of that starting side, but Vincenzo Montella did opt for Gabriel, Jherson Vergara, Niccolo Zanellato and Luiz Adriano from the outset.
Liverpool were lively early and almost went ahead in the second minute through Philippe Coutinho.
Mane, dangerous in the early stages, delivered a delightful ball from the right, but the Brazilian was denied by a last-ditch clearance.
Adam Lallana put an effort onto the roof of the net from inside the area seven minutes before the break in a first half during which both teams struggled to create chances.
Just minutes later and Mane should have put Klopp's side ahead.
The Senegal international was played onside and fed by Coutinho, but his powerful shot was straight at Gabriel in the one-on-one.
Both teams made changes at the break and one of Klopp's paid off in the 59th minute.
Origi, introduced for Sturridge, opened the scoring with a fine effort, stepping his marker on the left side of the area before curling his shot into the far bottom corner after a long ball from Alberto Moreno.
Niang should have levelled for Milan, but the Frenchman headed a glorious chance from an Ignazio Abate cross over the bar.
Origi netted again, but it was ruled out for offside, yet Liverpool did not have to wait much longer for a second.
Substitute Sheyi Ojo cut in from the right before firing at goal, with his shot taking a deflection into the path of Firmino to put away.