Аннотация:The sensitivity of the three top quark production process to the potential contribution of theSMEFT top-related operators was investigated. Theoretical restrictions on the Wilson coefficients of the corresponding operators are obtained for the scenarios of the LHC, HL-LHC, HE-LHC, and FCC experiments. It is shown how these restrictions change with increasing energies and luminosities of the considered scenarios. It was demonstrated that the process constrains the following four-fermion operators relatively well and it is also sensitive to the relevant operators with bosonic fields.