The Reds recovered from a torrid first half at Molineux to come back and claim a 3-1 victory, as Cody Gakpo and Andy Robertson scored after the break before Hugo Bueno turned away Harvey’s strike Elliott to seal the three points.
Mac Allister started in midfield for Liverpool but picked up a yellow card inside four minutes and was replaced at the break by Luis Diaz as Klopp looked for a significant improvement in his side.
The 24-year-old only returned to training with his club on Friday, after being on international duty with Argentina. Mac Allister was pictured earlier in the week using an oxygen tube to try to cope with the high altitude in Bolivia.
Speaking after the win over Wolves, Klopp admitted the midfielder suffered from fatigue in the first 45 minutes and had no problem coming off at half-time.
“He was done,” Klopp said. “Yellow card and he was already exhausted in the first half.
“We know how good Alexis is, in the first half, in his decision-making… we saw it during the week where he was wearing the oxygen mask, I thought many times that they should have left it a little longer – that might have helped!
“It was just difficult. When you’re in a game like this, there’s a good chance you’ll complete a challenge a little too late and then get the second yellow and that’s it. That’s all.
“He had some good moments in the first half, but he also had other moments and you could see them. He wasn’t really disappointed when we took it out. I think he was quite relieved.