They have begun fencing off the area for the expansion.
Westchester Square shopping center has received permission for an entry on Dalewood Avenue which could be coming soon as well.
Approved by the Greenburgh Town Board in 2016, Trader Joe's said the store will remain open throughout the expansion project.
Yonkers-based Hampshire Management also plans to build a new 8,000-square-foot building for stores or offices behind the Best Buy electronics store.
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