A two-and-half-month spell on the sidelines after the Merseyside derby in mid-October meant Thiago returned to the fold for the last three games, all of which have come away from Anfield.
Klopp, though, suggested that he was keen to unleash the two-time Champions League winner at home against United.
"We will see," Klopp said. "The most important thing is he is fit, has trained, bam, all good.
"Now, what was it? He has played 90 and 45 minutes in the last two games. So we will see if he can play and which position he can play because we have options and all that stuff.
"But it is really good to have him around now because he is a really good guy and obviously an exceptional football player.
"Yes, it is like a new signing. I know that I said that to put the pressure off the situation a little bit when people said we should sign Thiago.
"But we have now and he is here. Let's hope it will stay like this for a long, long time."