Liverpool slumped to a 2-0 defeat away to Hull last time out, with Mignolet making a blunder in the build-up to the opening goal.
Mignolet was usurped by summer signing Loris Karius at the start of the season, however he has since regained the No1 gloves.
And McAteer, who played for Liverpool during the 1990s, thinks Klopp should keep faith and start the Belgian against Tottenham on Saturday (5:30pm).
Liverpool player ratings against Hull
Sat, February 4, 2017
Express Sport brings you Liverpool's player ratings from their defeat to Hull
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Simon Mignolet – 5
Simon Mignolet has come under fire this season
Jurgen Klopp has been urged not to drop Simon Mignolet against Tottenham
It would do more harm than good to bring Karius back and hopefully Simon gets the chance to rectify it
“Since Mignolet has come back in he’s done a really good job and he’s obviously worked hard to get back into the team,” McAteer told 888Sport.
“Yes, he made a mistake last weekend but while it was right to drop him the first time it would be really damaging to Mignolet to do it again.
“It would do more harm than good to bring Karius back and hopefully Simon gets the chance to rectify it.”
Tottenham could open up a seven-point gap on Liverpool with victory at Anfield.