The No.4 had to be taken off early in the second half of the weekend win against Southampton after sustaining a further knock to an already existing minor rib issue.
John Collins - who was assistant manager at Celtic when van Dijk emerged as one of the most promising defenders in Europe - has revealed the mistake Liverpool made with the Dutchman.
"He is much better".
"Arsenal's chief scout thought he was a little too nonchalant", said Collins.
"We will see how we deal with that.
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And going next to someone like Van Dijk, he is only going to get better". The 29-year-old has not played this season after aggravating an earlier pelvic injury during Croatia's march to the World Cup final in Russian Federation in July.
Matip, 27, said: "It was quite a long time with the injury but now I'm fit and in a good way". He worked with the fitness guys before that for 10 days. "He looks ready", he said.
"It's a competition we like". It's not that you think the first two-three rounds you go through somehow, and from the semis on it starts getting exciting.
"He already had a bruise in the ribs before the PSG game, which is very uncomfortable and today he got another hit there", Klopp was quoted as saying on the Liverpool website.
Liverpool are now flying high in the Premier League - having won six games out of six to climb to the top of the Premier League - and next face Chelsea in the League Cup in midweek, before taking on the Blues again at Stamford Bridge next Saturday.