India's cricket chief , Umesh Yadav and Bhuvneshwar Kumar in a deadly arsenal.
"The West Indies in my generation were naturally strong," the former India captain said.
"We Indians were never such naturally strong... but we worked hard to get strong. But I think it is the change in culture as well that is very important."
Shami last month claimed that the current Indian pace attack may be the best in Test history.
"You and everyone else in the world will agree to this - that no team has ever had five fast bowlers together as a package," said Shami.
"Not just now, in the history of cricket, this might be the best fast-bowling unit in the world."
Shami took 13 wickets during India's 3-0 home Test sweep over South Africa last year, while Bumrah has claimed 68 scalps in 14 Tests since his debut.