  We consider a $f(R)$ gravity theory in $(2+1)$-dimensions with a
self-interacting scalar field non-minimally coupled to gravity. Without
specifying the form of the $f(R)$ function, solving the field equations we find
that the Ricci scalar receives a non-linear correction term which breaks the
conformal invariance and leads to a massless black hole solution. When the
non-linear term decouples, we get a well known hairy black hole solution with
the scalar field conformally coupled to gravity. We also find that the entropy
of our black hole may be higher than the corresponding conformal black hole
which indicates that our solution may be thermodynamically preferred.
