Marchant, 20, has a toe injury while Hill, 22, has an ongoing neck problem.
England will also assess Sale Sharks wing Denny Solomona, who is having treatment on a foot sprain.
Head coach Eddie Jones will confirm the 31-man squad travelling to Argentina on Monday, following the Aviva Premiership final on Saturday.
Harlequins centre Joe Marchant and Northampton prop Paul Hill have been ruled out of England's tour to Argentina in June through injury.