Reds fan Cox, was attacked by Roma fans before a Champions League game at Anfield in April 2018.
The 54-year-old will return to the ground for the first time since the incident for Sunday’s game against Manchester City.
“I hope we can organise that I can see him for a couple of minutes before the game. I really want to,” said Klopp.
After almost 18 months of treatment in the Republic of Ireland, Cox moved to a specialist neurological facility in the north of England for a 12-week rehabilitation programme, focusing on developing his speech and movement.
His wife Martina said he had made progress since the attack, but it has been slow and “his speech remains very challenged”.
A legends charity match staged this year raised 748,000 euros for the Sean Cox Rehabilitation Trust.
“When it happened to Sean, it was the lowest point of my time at Liverpool,” said Klopp.
“Something like this should not happen in general in life and it should not happen around a football game as well.
“We all know it’s not finished yet and there is a long way to go.
“If we can give him the opportunity to come back to watch a really big game – and that he wants to do that – that for me, coming from a really low point, is one of my highlights since I have been here.”