The Reds have made a difficult start to the Premier League season following a run of four victories in their opening 10 fixtures.
Liverpool have conceded 15 times in five games on the road in the Premier League to boast a worst defensive record than basement club Crystal Palace.
Belgian goalkeeper Simon Mignolet was criticised for a poor performance in Liverpool’s 4-1 loss to Tottenham Hotspur at Wembley earlier this month.
Jurgen Klopp signed former Manchester City shot stopper Loris Karius in a £4.7m deal from Mainz in the 2016 summer transfer window.
However, Liverpool’s second-choice goalkeeper Karius has struggled to impress when given the chance to shine in Klopp’s first-team.
Everton signed England international Pickford in a £27m deal from relegated Sunderland in the summer transfer window.
Former Manchester United midfielder Dunphy believes Liverpool should have considered a move to sign Pickford in the summer.
“The new goalkeeper at Everton, (Jordan) Pickford came from Sunderland for £30m. He’s outstanding and will probably go on and get capped for England. Why didn’t Liverpool buy him?” Dunphy told RTE Sport.
Liverpool are in sixth place in the Premier League table and three points behind fourth-placed Chelsea after 10 games.
The Reds signed Mohamed Salah, Alex Oxlade-Chamberlain, Andy Robertson and Dominic Solanke in the summer transfer window.
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