Van Dijk has been missing in action since suffering a hamstring injury at Brentford at the start of last month.
The 31-year-old has missed Liverpool's last seven games across all competitions as a result but returned to the bench for Monday's 2-0 win against Everton.
But in a timely boost ahead of crucial games against Newcastle and Real Madrid in midweek, Van Dijk is ready to play again.
Asked if he is in contention to start Saturday's game at St James' Park, Klopp said: "I think so. Yesterday he looked absolutely ready.
"I think [on Friday] he will look the same, and we will then make a decision."
Newcastle's only defeat this season in the top flight came in the reverse fixture back in August and the Magpies have conceded the least number of goals in the division(13).
Nine points separate Eddie Howe's fourth placed side and Liverpool, and Klopp knows how daunting the task will be.
"This is a massive game. If you want to reach something this season, we have to chase everybody, especially those who are ahead of us in the table," Klopp said.
"It will never be easy, but we have to try. It'll be tough; Newcastle are the best defence in the league, lost just once to us, we needed a late goal.
"They are very consistent and that is the first step to success.
"Eddie Howe has done an exceptional job, absolutely exceptional. The financial possibilities they have, or will have, are exceptional, but it is not because of that, not at all.
"He arrived in a difficult situation, they stayed comfortably in the league and now the team is unrecognisable. He's turned them around, and they are a proper threat."
