The building is expected to cost hundreds of millions of dollars.
The building would be 61,986 square feet in total under the proposal, with 50,004 square feet of leasable medical office space spread across four floors, 5,740 square feet of ground floor restaurant space, and a 213-place parking garage.
NYU bought the 0.6-acre property at 324 Datura Street from an affiliate of Boca Raton-based Morning Calm Management.
Gault is set to begin work on the second phase of Southbrooke in the fourth quarter of the year.
