  We consider type IIB supergravity backgrounds corresponding to the deformed
AdS_n x S^n supercoset string models of the type constructed in arXiv:1309.5850
which depend on one deformation parameter \k. In AdS_2 x S^2 case we find that
the deformed metric can be extended to a full supergravity solution with
non-trivial dilaton, RR scalar and RR 5-form strength. The solution depends on
a free parameter (called a) that should be chosen as a particular function of
\k to correspond to the deformed supercoset model. In AdS_3 x S^3 case the full
solution supported by the dilaton, RR scalar and RR 3-form strength exists only
in the two special cases of a=0 and a=1. We conjecture that there may be a more
general one-parameter solution supported by several RR fields that for
particular a=a(\k) corresponds to the supercoset model. In the most complicated
deformed AdS_5 x S^5 case we were able to find only the expressions for the
dilaton and the RR scalar. The full solution is likely to be supported by a
combination of the 5-form and 3-form RR field strengths. We comment on the
singularity structure of the resulting metric and exact dilaton field.
