  We present a new Type IIB supergravity background of the warped form
AdS$_4\times \mathcal{M}_6$ with dilaton, $B$-field and all Ramond-Ramond
fluxes turned on. We obtain the solution by applying non-Abelian T-duality to a
certain representative of a class of AdS$_4$ backgrounds in massive IIA
supergravity. By explicitly constructing the Killing spinor of the seed
solution and using an argument involving Kosmann spinorial Lie derivative we
demonstrate that the background is supersymmetric.
