MUMBAI, Sept. 1 (Reuters) - Gill & Co Pvt Ltd, India's largest private cotton exporter, expects to ship up to 800,000 bales of cotton in 2009/10 season, double the estimated exports last year, on hopes of economic revival, a top official said.

The cotton marketing year runs from October to September.

"There are now signs of recovery so global consumption should improve in 2009/10.. By Sept. 2010 we hope to export 700,000-800,000 bales," Chairman and Managing Director, Kantilal Shah, told Reuters in an interview.

The 10-bln-rupee firm exported nearly 1 million bales in the year ending September 2008, and estimates exports of 400,000 bales in year ending September 2009, as global demand declined after an economic crisis.

Shah said Indian prices may not be competitive in the international market in the short-term due to the higher support price.

(1 bale=170 kg)

(Reporting by Sourav Mishra & Abhishek Shanker; Editing by Prem Udayabhanu)