Please advise the date of shipment as soon as possible.

请尽快通知装货日期.

《简明英汉词典》

Please expedite shipment as soon as possible.

请尽速装船.

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We are much in need of the goods. Please expedite shipment as soon as possible.

我方非常需要这批货物, 请尽快将货物发出.

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We'll arrange shipment as soon as possible.

我方将尽快安排装船.

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