THE tea bag, a clever enough idea at first, went terribly awry somewhere along the way, at least in the view of people who love to savor their tea. Now it is in the process of large-scale reinvention, and some of those who currently shun it with almost ostentatious disdain are very likely to be won over.

At age 100 or so, the old bag is increasingly being filled with fine whole leaf tea, the kind connoisseurs brew in their teapots, and the bag itself has been redesigned in shapes that are not only elegant but constructed to allow those flavorful leaves to show what they’ve got.

With tea sales in the United States now four times what they were a decade ago — about $6.2 billion annually, according to the Tea Association of the USA, a trade group — the American tea drinker seems ready for a change for the better.

The change, some say, is overdue. Look closely at a conventional tea bag in your cupboard or in the paper cup from the local deli. Chances are that instead of leaves it is filled with indistinguishable bits, the detritus left after tea leaves are sifted and graded. The tea industry calls it dust, and the beverage it makes is likely to be rusty-looking and often bitterly tannic. But it no longer has to be, nor is it necessary to brew a whole pot of tea to achieve something better tasting.