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Brendan Rodgers says his main objective this season is to bring silverware to Anfield.

The Reds boss guided his side to an impressive second place finish last season and has made steady progress, but a trophy has proven elusive in his two years at the club.

Liverpool have only won one League Cup since the FA Cup victory in 2006.

WATCH: Brendan Rodgers discusses new signings

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"My expectancy this season is to win a trophy," said Rodgers in his press conference at Soldier Field.

"My focus when I signed my first contract was to get us into the Champions League - to put the club back where it belongs and obviously give us better resources.

"We've achieved that goal."

The Reds scored 101 goals last season and set their second-highest Premier League points tally as the squad excelled under Rodgers' tutelage.

"As the philosophy starts to become defined in the team, the next goal is to win a trophy," added Rodgers.

"The most important thing for me as a coach is continuous improvement and it is very important on the back of a good season that we can go and push on again.

"Success for us is a moving target. Keep moving, keep stretching ourselves and we expect to win."

Liverpool have used qualification for Europe's premier competition as a launch pad to sign four new players for over £60m. The first of those signings, Adam Lallana, has been ruled out for up to six weeks with a knee injury - but the Northern Irishman insists he won't be rushed back.

"It was very disappointing and it's probably going to be four to six weeks," said Rodgers. "He's looked fantastic in training and it was just a very simple exercise with no pressure.

"Hopefully we can get him back fairly quickly but theres no rush, he's a fantastic player and we just want to get him back fit and well because it's a long season."

Rodgers was speaking ahead of Liverpool's game with Olympiacos on Sunday at the home of NFL side Chicago Bears.

And after a 1-0 defeat against Roma in their opening game of their pre-season tour, the manager says results aren't the most important part of the trip.

"The objective at this time is fitness, you don't win any trophies in pre-season," said Rodgers. "The key factor for us at the moment is to get the players fit and injury-free, and try to give them as many minutes as we can possibly do."

Reds goalkeeper Brad Jones also paid tribute to the fans in America before running out in front of hundreds of Reds fans during their open training session in Chicago.

The Australian goalkeeper said: "It makes everything that bit more special and makes you realise just how big the club is - and how much it means to everyone. "It gives you that boost to go out and perform well."

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*You can follow Liverpool's tour of the USA every step of the way. James Pearce and Kristian Walsh will be bringing you news, views and exclusive footage from the Reds' trip, from Boston to Charlotte. There will also be a dedicated liveblog every morning, running all the way through the day and covering the games.