After heading off for the October global break, Klopp's squad returned with a host of fitness concerns, not least a hamstring injury for Naby Keita.
Liverpool are still assessing Mane's condition after he underwent an operation on his fractured left thumb, sustained during Senegal's Africa Cup of Nations qualifier with Sudan.
Specifically on Van Dijk, who featured for Netherlands in a victory over Germany last Saturday before returning to Melwood and sitting out his country's draw with Belgium, Klopp insisted there were no long-term concerns over his recent rib injury.More news: Migrants break through fence at Guatemala-Mexico border
More news: Treasury Secretary Mnuchin backs out of Saudi conference amid Khashoggi situation
More news: In Texas Senate showdown, Beto O'Rourke faces off against Ted Cruz
"He is extremely close to the team".
"I have known Jurgen long enough, I know he loves to use smokescreens", Wagner told a news conference on Thursday.
He said: "One-and-a-half weeks ago everybody was quite happy or satisfied with the situation; one-and-a-half weeks later, we miss a few players". Obviously, he knows that he needs to try and do a little more than he is doing right now but he's giving his all and I'm not anxious at all.
Liverpool have made a strong start to the campaign with 20 points from eight matches to sit third in the table as one of three unbeaten sides.
Warming to his theme, Klopp added: "Do we want to have opera every night or every two months?"