It will work, but only in non-TTL auto mode (where the flash decides when the scene is sufficiently illuminated, rather than the camera through the lens). Additionally although the SB-27 has a zoom head, you'll have to manually input what focal length your lens is at, in addition to aperture/ISO.
Don't think that having it non-TTL is going to be bad - I get excellent results with my SB-25 with this.