"I do not see prima facie a case to start getting overtly worried at this point about the health of global banks," he said at a banking conference organised by CII.
"We are in touch with the players in the system, and if there is evidence of a drain of liquidity from local branches of foreign banks, we certainly would expect to be informed of such situations."
The comments come amid RBI's persuasion of global banks to operate as wholly-owned subsidiaries in the country rather than their current branch model.
Speaking on the stress for the banking majors, Rajan today flagged concerns on possible loan defaults on depressed oil prices and the Chinese slowdown "even though we do not know the magnitude for the latter".
Also Read
There are also worries surrounding the German banking major Deutsche Bank and the Coco bonds, he said.
"But to my mind, unless this persists longer, I am not excessively worried," he said, adding that the heightened capital requirements enforced after the 2008 financial meltdown will also be a source of help.
"We are contemplating that... We are studying it. I have asked our staff to look at the issue of wholesale banks and we will see what niche they could occupy and whether there is strength in that," he said.