The centre-back, who spent most of last season on the sidelines with injury, came on as second-half substitutes in the loss to Hertha Berlin last week.
Asked if the pair could play more minutes against the Serie A side, Klopp said: "Hopefully, yes. That's how it looks in the moment. I want to make it really clear, we push nothing.
"We just don't. We wait a little bit, the players come, we have now with Dr Andreas Schlumberger a real specialist who is in constant talks and always observing everything.
"We know exactly how they feel – how they really feel and not what they tell us because they obviously are desperate to play again.
"It looks good, this morning [it was a] normal training session. Sometimes in moments we swap Virgil and Joe a little bit so maybe the intensity doesn't get too high, but in general it looks really good. How many minutes on Thursday, I don't know but there will be some minutes for sure."