The Reds are competing in the FIFA tournament as Champions League winners.
They are set to face Monterrey in the semi finals, and should they win they would play in the final a few days later.
"It is special to be here. You have to be successful to be here and other teams from around the world have also earned their right to be here. All strong teams," Milner told reporters.
"It will be difficult but you want to get that winning habit and win trophies together as a group and to keep adding them. We are in good form and hopefully we can keep that momentum going. Obviously, it is fantastic to win a trophy.
"This is the trophy the club have not won so it would be nice to have that, so hopefully we can add that."
"Hopefully we can continue our good form as we have been in good form. If a chance to win a trophy is a distraction, then this is a pretty good distraction," he went on to say.
"We just want to keep being successful and keep winning trophies. You have to be successful to be at this tournament so hopefully we can go out there and win the two games.
"It is something this squad is very strong at. We are looking at that next game. The boys are always working towards the next game but it is all about recovering which is difficult in itself.
"The boys have done it very well so far and hopefully the boys can keep doing that but in terms of schedule, it is no different to what we would have had, had we not been here as we would have had another game at the weekend in the Premier League so nothing has changed."