Retailers Kate Spade, Aerosoles, Palm Place A Lllly Pulitzer Signature Store, and Design Within Reach have all closed up shop on Palmer Square in recent weeks. But what may look like a mass departure is just a routine part of turnover, according to management. And discussions with new “very exciting tenants” to take their places are underway.

“It doesn’t have to do with money,” said David Newton, vice president of Palmer Square Management. “It happens that their leases were up at the same time. Two of them were doing very healthy sales. It had to do with the internal workings of their companies. I was upset that they were going, but on all of these spaces, we are in various stages of talking closely with a number of tenants.”

Mr. Newton declined to name the future tenants, but noted that another deal was being completed this week. “I can’t say until they are signed,” he said.

Aerosoles at 69 Palmer Square was offering discounts of up to 70 percent before closing last week. A spokesperson for Design Within Reach, which at 30 Nassau Street was considered part of the Square, confirmed that the store had left town but would not disclose the reason. The Kate Spade store at 10 Hulfish Street informed customers through email that it was leaving Palmer Square but urged them to continue shopping the brand of accessories online.

The increased popularity of online shopping has had an effect on the way consumers buy goods. “Bear in mind that there is an enormous shift going on in the retail business,” Mr. Newton said. “It’s called omni-channel retailing, and it has to do with how much the Internet takes away from bricks and mortar. Most retailers are coming to the understanding that they need a bit of both.”

A recent expansion of The Farmhouse Store and the signing of the exercise franchise Pure Barre, which will open late this month at 31 Hulfish Street above Mediterra restaurant, are signs of continued health on the Square, Mr. Newton added. Pure Barre has more than 275 studios across the country and will carry a line of activewear in the Princeton location. The studio is offering a pre-opening special of five weeks of unlimited classes for $100, with 35 classes scheduled per week.

“Princeton still tells a good story,” said Mr. Newton, who has been managing Palmer Square for two decades. “MarketFair is a good competitor, and Quakerbridge Mall has come back from the dead. This situation is a catharsis in a way, because something good comes out of it. We’re adding some new and exciting things to the tenant mix.”