We present a construction of the superspace of maximally supersymmetric adS_{p+2} x S^{d-p-2} near-horizon geometry based entirely on the supergravity constraints of which the bosonic space is a solution. Besides the geometric superfields, i.e. the vielbeine and the spinconnection, we also derive the isometries of the superspace together with the compensating tangent space transformations to all orders in anticommuting superspace coordinates.

6 pages, contribution to the proceedings of the "mid-term TMR meeting on Quantum Aspects Theories, Supersymmetry and Unification", Corfu, September 20-26, 1998