When CNBC asked if a breakdown of the euro zone currency bloc is something the firm is considering in its positioning in Europe, Dimon said that such a scenario "unfortunately could be one of the fat tail outcomes of a Brexit."
"It may take more than five years, but it may very well happen," Dimon said in an interview on CNBC's "Power Lunch."
He explained that new leadership in the United Kingdom and important referendums in other countries are causing "a lot of uncertainty."
"We have to be prepared for whatever the outcomes are. ... Whatever the laws of the land are we have to follow. That may require us to do things differently than we do today," Dimon said.