  We consider current-current deformations that generalise $T\bar{T}$ ones, and
show that they may be also introduced for integrable spin chains. In analogy
with the integrable QFT setup, we define the deformation as a modification of
the S matrix in the Bethe equations. Using results by Bargheer, Beisert and
Loebbert we show that the deforming operator is composite and constructed out
of two currents on the lattice; its expectation value factorises like for
$T\bar{T}$. Such a deformation may be considered for any combination of charges
that preserve the model's integrable structure.
