"What the government has done is take away banks' and financial institutions' ability to trade as widely and take as many risks as they once did. So, the bond departments have been cut back and a lot has gone online," said John Challenger, who runs employment services firm Challenger, Gray & Christmas.
Read MoreTop jobs without a four-year degree
He recommends adapting skills to qualify for risk management and compliance jobs.
"Banks are now under so much deeper, stronger regulation. So, they built up their risk and compliance staff over the past several years to comply with all the government rules and regulations to protect against downside risk," Challenger added.
Demand for accountants, comptrollers and financial analysts would grow even more if there's another crisis, he said.
The areas in financial services paying the largest dividends now are in private equity and banking. But if another crisis hits, Challenger said these jobs likely will be the first ones to go.
The question is: Earn as much money as you can now in a riskier job, or stick with a lower paying position that could survive another blow to the system?
"It has a lot to do with how deeply invested you are in a function and whether you are committed to making a change," said Roy Cohen, author of The Wall Street Professional's Survival Guide. "There are two kinds of traders: Ones who are not necessarily well-educated and grew up in the business, and the traders with a CFA or MBA. They could be more versatile because they have a stronger skillset,"
Read MoreWhy these summer jobs will matter for these kids
There's a good chance banks would increase their need for McKinsey consultants if another situation emerges, according to Cohen, who has worked with Goldman Sachs as a career counselor and executive coach.
Even if Dimon is wrong and Wall Street doesn't see another financial crisis, advanced technology is already being blamed for permanently eliminating jobs on the street. There's a perception that firms using computers and complicated algorithms to buy and sell stocks and other securities are making trading more efficient.
"Many folks will find themselves zeroed out," Cohen said. "Investment banking and trading has already been scaled back dramatically because of the technology."