  In this work, we explore disformal transformations in the context of the
teleparallel equivalent of general relativity and modified teleparallel
gravity. We present explicit formulas in components for disformal
transformations of the main geometric objects in these theories such as torsion
tensor, torsion vector and contortion. Most importantly, we consider the
boundary term which distinguishes the torsion scalar from the Ricci scalar.
With that we show for $f(T)$ gravity that disformal transformations from the
Jordan frame representation are unable to straightforwardly remove local
Lorentz breaking terms that characterize it. However, we have shown that
disformal transformations have interesting properties, which can be useful for
future applications in scalar-torsion gravity models, among others.
