The 25-year-old headed home the opening goal against Sweden in England's quarter-final, and has been a solid figure at the back for the Three Lions in Russia.
The former Sheffield United star featured in every one of the Foxes' 38 Premier League games this season, scoring two goals during that time.
Maguire won Leicester's player of the season award last season too.
Two things to come out of the World Cup so far is we should put a £30-£40m bid in for Harry Maguire and Jordan Pickford is wasted on the Ev 🤨— 🔥 🅛🅕🅒_🅐🅛 🔥 (@LFC_AL) July 7, 2018
Now, after his impressive performances with England, Liverpool fans have called on their club to bring the defender to Merseyside this summer.
Please start talking to Maguire’s agent... him and Van Dijk would be unreal!— Ben 🏆⚽️ (@ben_pxrker) July 7, 2018
A number of fans suggested Maguire could be the perfect defensive partner for Virgil Van Dijk in the Liverpool defence.
While talk over Maguire currently remains limited to fans, it remains to be seen if manager Jurgen Klopp will want to look for defensive improvements this summer.
Reds fans have often been left frustrated at the lack of a quality centre back partner for Van Dijk, with many seeing Dejan Lovren as too unreliable - with the Croatian defender having been prone to making costly mistakes in recent seasons.
Liverpool have Joel Matip and Ragnar Klavan as other centre back options, but England's Harry Maguire would be seen as a vast improvement on those should Liverpool listen to their fans' demands and make a move.