Let \(\overline{bt}(n)\) denote the number of overcubic partition triples of n. Nayaka, Dharmendra and Kumar proved some congruences modulo 8, 16 and 32 for \(\overline{bt}(n)\) . Recently, Saikia and Sarma established some congruences modulo 64 for \(\overline{bt}(n)\) by using both elementary techniques and the theory of modular forms. In their paper, they also posed two conjectures on infinite families of congruences modulo 64 and 128 for \(\overline{bt}(n)\) . In this paper, we confirm the two conjectures.