The Premier League voted on Monday to start training with immediate effect in an attempt to resume the English football season.
Liverpool are on the cusp of winning their first league title since 1990 and Klopp is eager to steer his side to glory.
The Reds will hold a training session on Wednesday despite an announcement that six players or staff of Premier League clubs have tested positive for Covid-19.
The former Borussia Dortmund head coach is looking forward to getting back but insists his men must be ready to go all-out as they are two wins away from becoming the champions of England.
"I was over the moon, I would say," Klopp told the club's official website when asked how he felt about his men getting back to training at Melwood.
"I couldn't wait for a while now, so I am really happy that we are able to do this again – going back to Melwood, having small group training and stuff like this.”
"It will be intense, for the coaches especially because a lot of players in small groups means a lot of sessions, but we've had enough time to rest so we will be fine. Can't wait.”
He added: "When we start, it goes really again for everything. The competition will make the intensity," he said. "So, it's not about, 'Oh, Liverpool have to win two games'.
“By the way, we have to win two games when we start – it's not 'only two', it's two. It's not less or more.”
"We have to win them, it's not that we want to win the last two or whatever and come through somehow.”
“We want to play the best possible football, better than other teams fighting for the Champions League, fighting to stay in the league.”
"We have to do it, unfortunately, without the best boost in the world and the best kick in your ass in the right moment in the world, from the Anfield crowd.”
"That's how it is. I never understood in life why you always want things you don't have, you cannot have. In this moment we cannot have that, so let's take the rest and make the absolute best of it."