England will qualify for the last 16 with victory against Scotland, with Southgate set to ring the changes ahead of their Wembley Stadium showdown on Friday.
According to the Telegraph, Southgate is considering changing his full-backs and starting with Luke Shaw and Reece James for their second Group D fixture.
Kyle Walker started at right-back while Trippier played out of position at left-back against Croatia for the 1-0 win.
But it appears Southgate will draft in Shaw and James in place of Trippier and Walker to give more attacking threat in wide areas.
As for the centre-back pairing, John Stones is expected to partner Tyrone Mings who both started in England's opener.
That's despite Harry Maguire claiming to be fit following his ankle injury.
"I feel good, I've been training now," the Manchester United captain said.
"Obviously the injury was a setback club football wise. Internationally I wanted to come into this with a lot of games under my belt with full fitness, but I feel good. I'm back available, been training and I'm looking forward to it."
Asked if he was desperate to start against Scotland, he replied: "Yeah definitely. Obviously, it's a big game.
"I've done a few sessions now and feel like my fitness is there, so, like I say, I'm available for the game."
England return to action against Scotland before closing their group stage phase against Czech Republic next Tuesday.
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