The Netherlands international was heavily linked with a move to the Anfield outfit in the summer transfer window.
Liverpool were forced to issue an apology for their pursuit of Van Dijk after Southampton threatened to report the Reds for an alleged tapping up.
The Reds withdrew from the race to sign the former Celtic defender but Liverpool continued to be linked with the 26-year-old centre-half.
Van Dijk handed in a transfer request but the Merseyside outfit missed out on what many believe to be one of the Premier League’s leading centre-halves.
Liverpool’s troubles at the back so far this term have only served to emphasise their failure to sign Van Dijk in the summer transfer window.
Former Spurs midfielder Jenas warned Liverpool that signing Van Dijk wouldn’t automatically solve all their defensive problems.
“I don’t think the answer is better players,” Jenas told BBC Radio 5 Live.
“Granted, you can sign Van Dijk and he will make a big difference, but if you continue to play the same way and leave your defensive line on their own at times, you’re going to concede goals.
“I sympathise with that back four.”
Liverpool finished in fourth place in the Premier League table last term to secure a long-awaited return to the Champions League.
The Reds signed one defender in the summer transfer window after the Merseyside outfit snapped up Andy Robertson in an £8m deal from Hull City.
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