Corporate employees told Daily Voice they are still in the planning phase and will have a grand opening date in the near future.
H-Mart will be replacing the 25,000-square-foot Staples is located next to the DSW on Route 17 North.
It will include an Asian food court with a bakery cafe, seafood and oyster bar.
The "H" in "H-Mart" stands for Han Ah Reum, a Korean phrase meaning "one arm full of groceries.
The Korean-American supermarket chain is headquartered in Lyndhurst and has locations across the United States, Canada and London.
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