The new Toys “R” Us CEO, David Brandon, has two big tasks ahead of him: He has to figure out the right timing to take the giant toy company public, and he has to make sure the retailer has a great holiday season.

He talked about both issues with Fortune’s Susie Gharib at Fortune’s Brainstorm Tech conference in Aspen.

Brandon took over as CEO a year ago. One of the reasons he was recruited for the job is his successful track record in taking companies public. He did that as CEO of Domino’s Pizza ”DPZ” , and before that when he was running Valassis Communications.

Now, Wall Street is eagerly waiting for the day that the giant toy company trades again as a public company. Three big investment firms—Bain Capital, KKR ”KKR” , and Vornado Realty Trust ”VNO” —took Toys “R” Us private after they bought it in 2005.

Brandon won’t say when Toys “R” Us will do the IPO, but he’s confident about choosing the right time: “I’ll know when I see it.”

One key factor in the IPO timing is how well Toys “R” Us does this holiday shopping season. Brandon says forecasts are calling for “another growth year,” with industry sales rising 3% to 5%. “Our job is to participate in that growth,” he says.