"Pleas give us a gem pouch," pleads a highly-upvoted Diablo 4 subreddit post from January, and a gem pouch we will get.
During the first Diablo 4 Campfire Chat stream today, game director Joe Shely acknowledged that Diablo 4 gems, which can be refined and slotted into gear as upgrades, cause "inventory tension"—they take up a lot of space, more or less—and said that they will be removed from the inventory in a future update.