Sale Sharks captain Beaumont, son of World Rugby chairman and former England skipper Bill, missed his chance to make a test debut in the Six Nations and Australia tour this year because of injury.
Lawes, who has a swollen knee, will remain with the squad but joins an injury list already including regular starters in the second row, Maro Itoje and George Kruis.
Eddie Jones's side play home matches against South Africa, Fiji, Argentina and Australia over sucessive weekends during the international break.
