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The 43-year-old theorises that United's hierarchy are letting the situation get so bad that those who have doubted England hero Southgate in the past would be more open to an Old Trafford appointment.
Speaking on In The Mixer, brought to you by Sky Bet, Lescott said: "What I think is happening, I reckon they've flirted with Gareth Southgate in the past and I don't think there were many United fans who wanted that.
"But I believe they're letting it get so bad now with Ruben Amorim and they want Southgate, they're thinking it'll get to a point [where fan opinion will change]."