  In this article we prove a theorem of Ohsawa-Takegoshi type on compact
K\"ahler manifolds. Our arguments follow the "standard" approach for this kind
of extension results; however, there are many complications arising from the
regularization process of quasi-psh functions on compact K\"ahler manifolds,
and unfortunately we only obtain a particular case of the expected result. We
remark that the additional hypothesis we are forced to make are natural, since
they are in many situations; we hope to remove them in a near future.
