Trent Alexander-Arnold, Jordan Henderson, Virgil van Dijk and Georginio Wijnaldum came back to the training ground after their summer breaks on Saturday.
None of the quartet will be considered for Sunday’s pre-season friendly against Bradford City, which will be broadcast live on LFCTV and LFCTV GO.
But Klopp anticipates their integration with the full squad upon arrival in America.
“Training [is the plan]. How pre-season will be now, individual programmes for different players and groups,” the manager told Liverpoolfc.com.
“We will play the game tomorrow without them because they have to train twice. Today they did their lactate test, tomorrow they will train twice.
“On Monday, the rest of the squad who are playing now will have a day off before we fly to America. They will train with them again and the group who came late.
“From America onwards, they are pretty much in a normal rhythm, but we will use these three or four days to do some different things with them. Then, after landing in America, they are fully available.”
The Reds cross the Atlantic on Tuesday before facing Borussia Dortmund in Indiana on Friday and then Sevilla and Sporting CP in Boston and New York respectively.
“It’s good to see them back, absolutely brilliant,” added Klopp.
“They are all in good shape and good spirits, I would say. I am happy, they are happy to be back as well. They had the holiday they needed and wanted, so now we can start. Very good.”