England play Norway in the quarter-finals in Miami on Saturday.
James has already missed three matches at the tournament with a hamstring injury suffered in England's 0-0 group-stage draw with Ghana on June 23.
Rice is managing a neural problem that troubled him towards the end of Arsenal's Premier League season and affects his hamstring and lower back. The midfielder was rested for England's 2-0 win over Panama in the group stage.
England defender Jarell Quansah is already set to miss Saturday's clash with Norway after his sending-off during England's dramatic 3-2 victory over Mexico in the last 16 at the Azteca Stadium on Sunday.
Rice, Guehi, Harry Kane, Jude Bellingham and Nico O'Reilly are also all walking a tightrope on yellow cards, with another booking automatically ruling them out of a potential semi-final against Argentina or Switzerland.