Holmes, who is currently a presenter at GB News, has been one of Schofield's most vocal critics ever since rumours started over the presenter falling out with his former co-host Holly Willoughby.
Holmes's commentary has amplified in recent days after Schofield admitted to having an affair with a much younger ITV staff member that Schofield denies was illegal.
Taking to Twitter, the former culture secretary offered her view on the future of This Morning: "It’s doubtful that @thismorning can survive – in the short term, it needs a familiar pair on the sofa, people the public know and trust."
It’s doubtful that @thismorning can survive - in the short term, it needs a familiar pair on the sofa, people the public know and trust.
Time to bring back @EamonnHolmes and @RuthieeL to steady the ship whilst the decks are cleared.
— Rt Hon Nadine Dorries MP (@NadineDorries) May 30, 2023
She then suggested that Holmes and his wife Ruth Langsford return to This Morning: "Time to bring back @EamonnHolmes and @RuthieeL to steady the ship whilst the decks are cleared."
Holmes and Langsford previously presented This Morning between 2006 and 2021 on Fridays and during the holidays when Schofield and Willoughby were on a break.
Holmes now presents the breakfast show on GB News while Langsford still works for ITV as a presenter on Loose Women.
Holmes has accused several senior executives at ITV of knowing about Schofield's conduct, saying: "Those in authority had to know what was going on and they thought they would dodge a bullet with this which they do and they do constantly."
He also accused Schofield of "coercive behaviour" during his time at This Morning.
Hammond and O'Leary are also the two favourites to permanently replace Schofield with many also expecting Willoughby not to return to the show.
Watch below: Eamonn Holmes alleges 'total cover-up' at ITV over Phillip Schofield affair