There is a rumor that a drawing was made for the project, if anyone has it please send it in and I'll update this post. The project could also spur more development across the entire block, which also include a Grocery Outlet.
This is an up-and-coming part of Downtown San Jose. You now have the two MIRO residential towers across the street, a new project planned for where 4th Street Pizza used to be, and one of the best Downtown restaurants (Rollati). SJSU is just a few blocks away, as is a future BART station. Hopefully this new tower comes to fruition and further enhances the neighborhood.