Fans will be hoping a Borussia Dortmund-like transformation is taking place at Anfield, similar to the work Klopp conducted during his early days at the Westfalonstadion.
In Matip, the Reds have signed what they have lacked in recent seasons - a solid, 6ft plus defender who offers consistency and a powerful presence in the air, both defensively and going forward.
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Far too often Liverpool have conceded sloppy goals in recent seasons, not just from open play but after shambolic defending from set pieces.
An aerial presence is exactly what Klopp needs, then, and the fact Matip will cost absolutely nothing is a very welcome bonus for the German considering the millions previously wasted by the club.
And with the not-too-distant returns of Danny Ings and Joe Gomez also on the horizon, the future looks bright for Liverpool.
Their 6-0 demolition of Aston Villa on February 14 was also reason to suspect the Reds have turned a corner in their bid to scale the Premier League table, with the Villains unable to cope with the visitors' fast-paced attack.
Striker Daniel Sturridge also made his long-awaited return, marking the occasion with a goal to open the scoring and empitomising his importance to a side who have occasionally struggled for goals without him.