The comments assume significance in the wake of a China-led slowdown hurting the markets worldwide in the recent days, which has led to calls in India for taking this crisis situation as an "opportunity" as the global economy may need alternative growth engines.
Asked whether India can replace China as a new growth engine, Rajan said in an interview to BBC, "India is one-fourth to one-fifth of China's size. Even if we can overtake China in terms of growth rates, the magnitude of the effect will be far smaller for a long time to come."
As per the latest data available with the World Bank, GDP of the US is over USD 17 trillion. This compares with China at over USD 10 trillion and India USD 2 trillion.
After Monday's market crash, Prime Minister Narendra Modi had stressed on the need to further strengthen the Indian economy and said that the present global crisis should be converted into an opportunity for India.
Yesterday, Finance Minister Arun Jaitley also asserted that the global market turmoil was not a cause of "worry" and rather presents an opportunity for India to grow further by speeding up the reforms.
Stating that the world was being shouldered by a powerful engine that did not seem to be running fast enough, Jaitley said the global economy now "requires alternative engines".
Stating that China was responsible for almost half of the global growth in the last few years, the Finance Minister said India is now the only major economy to grow at 7-8 per cent and "everybody else is far below".
Rajan, on his part, said that China was a big country that has "become very important to the global economy", and every adverse development anywhere in the world would certainly impact the rest as well.
He, however, said that it was wrong to attribute the problems for global markets entirely to China, as there were a number of other concerns too.
Rajan, who is credited to have seen the global financial crisis of 2007-08 coming, allayed fears of any major crisis being round the corner.
"Based on what I have seen so far there is no strong reason to believe that we are on the verge of another crisis... But we have to be vigilant about kinds of those fragilities that have built up in the last few years," Rajan said.
Rajan also warned against central bankers being overburdened to fix the struggling economies globally and said the consequences may be "more bad than good" if they actually act. He, however, added that situation was different in India where he was still faced with problems like high inflation.