His playing style shares a likeness with Barca anchor Busquets and Luis Enrique believes the comparisons are apt.
"I have already spoken about their similarities," he told a news conference.
"It's not good to give too much praise and he is very young, but Rodri comes across as very professional and prepared mentally.
"He can reach Busquets' level and maybe surpass it. Who knows what limits he has?"
Rodri's club team-mate Diego Costa will not be joining him during the international window after a thigh problem forced him to join Dani Carvajal (calf) and Isco (appendicitis) on the sideline.
"It's wonderful what [Julen] Lopetegui said and did because it's a long season," he said.
"We have to give them rest. I'm worried about the players and the calendar, but that's something we cannot change.
"We have to accept it and try to control it with the loads of games that are played."