  This article presents the study of almost Hermitian submersion from an almost
Yamabe soliton onto an almost Hermitian manifold. A non-trivial example is also
mentioned in order to guarantee the existence of such solitons on the total
space of almost Hermitian submersions. We mainly focus on Kaehler submersions
from Kaehler manifolds which are special case of almost Hermitian submersions.
Under certain conditions, we find out that the fibres and the base manifold of
such submersions are almost Yamabe soliton. We give the characterizations for
an almost Yamabe soliton of a Kaehler submersion to be shrinking, steady and
expanding in terms of extrinsic horizontal scalar curvature. Moreover, we
observe the behavior of torqued, recurrent and concurrent vector field of the
total space of the Kaehler submersion. In particular, we obtain
characterization for an almost Yamabe soliton consisting of concurrent vector
fields. Meanwhile, we give some results of such submersions when the total
space is Yamabe soliton which is a particular case of almost Yamabe soliton.
