In the past week alone, India, the world's second-biggest cotton exporter, sealed deals to sell about a million bales to China, Taiwan, Vietnam, Pakistan, Bangladesh and Indonesia - key garment suppliers to brands such as H&M, Inditex-owned Zara and Wal-Mart Stores Inc.
That compared with 300,000 bales in the two weeks before.
Dealers expect contracts similar to last week in the next few months, which could help India's exports grow by a quarter in the 2017/18 season beginning October.
Hurricanes Harvey and Irma caused widespread damage to the crop in Texas and Georgia, major cotton producing states, with the effects more widespread in Texas, dealers said.
"We definitely lost cotton in Texas. It wiped out 500,000-600,000 bales," said Peter Egli, risk manager at Plexus Cotton Ltd, a Chicago-based merchant, referring to the impact of Harvey in the top-producing US state.
In 2016, the United States exported 86 percent of its cotton, 69 percent of which went to Asia, according to the US Department of Agriculture.
Traders in India, also the world's biggest cotton producer, signed their export deals at around 80 cents per lb on a cost and freight basis, nearly 2 cents lower than the supplies from the United States, dealers said.
India could soon sell at lower prices.
Farmers are likely to harvest a record 40 million bales of cotton in the 2017/18 season beginning Oct. 1, 2017, bringing domestic prices down and making exports even more competitive, Mr Patel said.
Hobbled by the rising rupee and unattractive global prices, India was struggling to sign export deals until a few weeks ago. But a recent rally in global prices made overseas more sales competitive.
Other than attractive prices, close proximity encouraged most Asian buyers to turn to India. While cargoes from the United States take about 50 days to reach Vietnam, Bangladesh and Pakistan, India can ship its cotton in two weeks.