Torsion models constitute a well known class of extended quantum gravity models.
In this work, one investigates the phenomenological consequences of a torsion field interacting
with top quarks at the LHC. A torsion field could appear as a new heavy state characterized by
its mass and couplings to fermions. This new state would form a resonance decaying into a top anti-top pair.
The latest ATLAS $t\bar t$ production results from LHC 13 TeV data are used to set limits on torsion parameters.
The integrated luminosity needed to observe torsion resonance at the next LHC upgrades are also evaluated,
considering different values for the torsion mass and its couplings to Standard Model fermions.
Finally, prospects for torsion exclusion at the future LHC phases II and III are obtained using
fast detector simulations.