Fast bowler Gus Atkinson comes back into the team to replace Archer while Jacob Bethell will bat at number three ahead of the dropped Ollie Pope.
It will be Bethell's Ashes debut and a serious test of the 22-year-old's talent having not yet made a century in 26 first-class matches.
Losing Archer is a big blow for tourists as the paceman has, alongside Ben Stokes, been England's best player in the series as they find themselves 3-0 down.
Archer was sent for a scan in Melbourne on Tuesday after a limited workload in the second innings of the Adelaide Test, and will return to the UK next week to be assessed.
Shoaib Bashir has once again been overlooked despite captain Stokes insisting he is England number one spinner.
Will Jacks will continue as a spin-allrounder and fast bowler Josh Tongue retains his place.
England XI: 1 Zak Crawley, 2 Ben Duckett, 3 Jacob Bethell, 4 Joe Root, 5 Harry Brook, 6 Ben Stokes (captain), 7 Jamie Smith (wk), 8 Will Jacks, 9 Gus Atkinson, 10 Matthew Potts, 11 Josh Tongue.
England captain Ben Stokes was happy that his team broke their Ashes drought in Australia but slammed the state of the pitch in Melbourne after the Boxing Day Test ended in two days.
England ensured the Ashes would not end in a clean sweep by securing a four-wicket win over Australia after just two days in the fourth Test at Melbourne.
England were skittled for 110 inside 30 overs on the opening day of the Boxing Day Ashes Test in Melbourne, after earlier bowling Australia out for 152 thanks to Josh Tongue's five-wicket haul.
Head coach Brendon McCullum has admitted England's lack of the preparation will justifiably be questioned after surrendering the Ashes to Australia inside 11 days.
