Albertsons CEO Bob Miller said the second-largest grocery chain in America is going to "work hard" on home delivery to compete with retail giant Amazon.com (AMZN) - Get Report , Fox Business reported.

Amazon's proposed acquisition of Whole Foods Market (WFM) has some grocers shaking in their boots, but Albertsons is going to focus on increasing its home delivery services "even if Amazon is, too," Miller said. He plans to have home delivery in eight of the 10 biggest U.S. markets by the end of the year.

"We think we can compete in that space, because somebody can order the complete variety from our store. And we have countertop service," Miller said. Albertsons is also planning to offer click-and-collect services for consumers to order online and pick up in stores.

Albertsons isn't just competing with Amazon, though. German-based grocer Aldi announced a $3.4 billion investment in its U.S. store base last month. "There's no end to new competitors. There's no end to people closing and going away, too," Miller said.

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