Recent reports had indicated the Ligue 1 champions were preparing a £50 million move for the Englishman to replace the likely departing Edinson Cavani, per the Guardian's Simon Burnton.
However, according to Get French Football News, there is no truth to the rumours, and Sturridge "is simply not on [PSG's] radar."
Sturridge has been effective in bursts this season but has continued to be plagued by injuries, and Bleacher Report's Dean Jones previously suggested he is only worth around £20 million because of his fitness problems:
His goals-to-games ratio is excellent, but he has netted only four times in the Premier League this season, having only made seven appearances, per WhoScored.com.
When fit, he is arguably one of the best strikers in England, but because of his consistent fitness problems, Liverpool would likely have seriously considered such an offer from PSG.
However, it seems there will be no bid forthcoming, with Get French Football's report naming Inter Milan’s Mauro Icardi as the French side's preferred strike target.
Elsewhere, Reds manager Jurgen Klopp is reportedly "monitoring" both Sevilla's Sergio Rico and Real Betis' Antonio Adan as he looks to solve his goalkeeping problem, per Spanish outlet Fichajes.net (via Alex Wood of the Daily Star).
Rico, 22, could reportedly be available for just shy of £8 million, while the 28-year-old Adan is valued at closer to £12 million.
As a long-term buy, Rico would be an excellent choice, as he has already established himself as Sevilla's No. 1 at a young age, while football writer Peter Hall rated him highly:
Peter Hall @PeteHall86
Two tremendous goalkeepers on show at the Bernabeu tonight. Sergio Rico is vastly underrated. Superb shot-stopper.3/20/2016, 10:53:04 PM
There is little doubt Liverpool need added strength in the goalkeeping department—not only is back-up Adam Bogdan a liability, but so is No. 1 Simon Mignolet.
The Belgian recently penned a new long-term contract at Anfield, but he is too prone to mistakes to truly be a top-class keeper, per Squawka:
Squawka Football @Squawka
Most defensive errors in the Premier League this season: S.Mignolet (5) G.Barry (5) E.Can (5) H.Lloris (4) https://t.co/Dcq9HQrsHH3/20/2016, 12:53:57 PM
If Klopp is to return Liverpool to the upper echelons of English and European football, he needs to have a competent goalkeeper upon whom he can always rely.
Mignolet, while capable of stunning saves, is not consistently reliable, hence why Klopp is seemingly looking elsewhere.
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