Lock Hendre Fourie is also set to miss out when the squad is named at 7.45pm BST.
Various outlets in the English press have reported that Johnson has decided on a 17-13 split between forwards and backs, with New Zealand-born Wasps centre Flutey the biggest casualty.
Scrum-half Danny Care is ruled out through injury.
Sale's Fourie, who started against Wales in Cardiff, is also set to miss out, along with Harlequins skipper Chris Robshaw.
England play their final warm-up game against Ireland in Dublin on Saturday before opening their World Cup campaign against Argentina.
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The Lions are ready to get their Australia tour underway. They arrive in Perth on Monday.
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The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.
