Fernando Torres is likely to make his Liverpool debut against either Werder Bremen or Auxerre when the Reds travel to Switzerland later this month.
The Spaniard will now head back to his homeland after completing his move to Anfield and will not return until July 11.
He is unlikely to feature against either Wrexham on July 7 or Crewe on July 14, but will travel to central Europe with his new teammates on July 17.
"For sure he will play in Switzerland," Benitez told Liverpoolfc.tv.
Stay logged on to the club's official website for exclusive interviews with both Fernando Torres and the boss.
When did you first hear of Liverpool's interest in you?
It was just a couple of weeks ago, it's all happened very quickly. I was aware of offers from other clubs but as soon as I knew Liverpool were interested I said to Atletico: "Look, please listen to this offer." There were many clubs being banded around. Offers go directly to Atletico, so I wouldn't necessarily know about them, but as soon as I heard about Liverpool, I told them that Anfield was the only place I was interested in.
Liverpool boss Rafa Benitez has admitted Craig Bellamy could be leaving the club.
Bellamy's future has been the subject of speculation for some time with a number of clubs believed to keen on signing the Welsh international.
The former Newcastle striker struggled to hold down a place in Benitez's side last season and the arrival of Fernando Torres has pushed Bellamy further down the pecking order at Anfield.
Benitez admitted a number of clubs have expressed an interest in Bellamy, but he insists Peter Crouch will be going nowhere.
Asked if Bellamy will be leaving, Benitez said: "Possibly. We have some clubs asking about him and it's a possibility.
"The only thing I can say is that Crouch will be staying with us. I have said to Crouch that he must fight for his position and he will stay with us."
Benitez also played down rumours linking him with a move for Manchester United defender Gabriel Heinze.
The Spaniard says he is looking at bringing in wide players rather than defenders.
"Really we are working with wingers," added Benitez. "People can talk about a lot of things and a lot of names but we're working on wingers."
SKYSPORTS
Liverpool have completed the signing of Fernando Torres from Atletico Madrid in a club record deal.
The Spanish international has signed a six-year deal at Anfield after agreeing personal terms and passing a medical.
Liverpool have paid a club record £20million to land the highly-rated forward.
Torres flew back to Madrid for a press conference earlier on Wednesday to say goodbye to the Atletico faithful, before flying back to England to be unveiled as a Liverpool player.
Speaking through an interpreter, Torres spoke of his delight at moving to Liverpool.
"I'm very happy to be joining the club," he told Sky Sports News. "It is a fantastic opportunity to be joining one of the best clubs in Europe with a fantastic history.
"You don't get opportunities like this every day of your life.
"I will be working from day one and getting to know my team-mates more closely.
"You have to make sure you are in a position to make choices difficult for the manager as all my team-mates here are of the highest quality.
"Liverpool are the type of club that aspire to win trophies and I will certainly be trying my hardest and doing my little bit to try to improve that record, improve our chances and improve the team a little."
When quizzed on his relationship with his new manager Rafa Benitez, Torres conceded he is looking forward to working alongside his compatriot.
"It was important, the confidence shown in me by him," he added.
"When you hear a club like Liverpool is interested in you it is something that fills you with a lot of surprise and a lot of pride."
Torres arrives in English football with a hefty price-tag weighing on his shoulders, but the Spanish international is determined not be preoccupied by what Liverpool have paid to secure his services.
"The figures that have been mentioned are bound to bring an added pressure, but when you sign for a club like Liverpool you've got to bear pressure.
"I know the demands are high but I believe in hard work and think I can work hard to fulfil those expectations."