  In this paper we will consider noncommutativity that arises from bosonic
T-dualization of type II superstring in presence of Ramond-Ramond (RR) field,
which linearly depends on the bosonic coordinates $x^\mu$. The derivative of
the RR field $C^{\alpha\beta}_\mu$ is infinitesimal. We will employ generalized
Buscher procedure that can be applied to cases that have coordinate dependent
background fields. Bosonic part of newly obtained T-dual theory is non-local.
It is defined in non-geometric space spanned by Lagrange multipliers $y_\mu$.
We will apply generalized Buscher procedure once more on T-dual theory and
prove that original theory can be salvaged. Finally, we will use T-dual
transformation laws along with Poisson brackets of original theory to derive
Poisson bracket structure of T-dual theory and nonassociativity relation.
Noncommutativity parameter depends on the supercoordinates $x^\mu$,
$\theta^\alpha$ and $\bar\theta^\alpha$, while nonassociativity parameter is a
constant tensor containing infinitesimal $C^{\alpha\beta}_\mu$.
