Nine banks, including Barclays and Goldman Sachs, may adopt the blockchain system that logs who spends which virtual coins in an ever-expanding computer equivalent of a ledger.
The banks want to use the blockchain method because it is hard to fool - making fraud more difficult.
It could also speed up trading systems and make deals more transparent.
The project to test blockchain-like technology is being led by financial technology firm R3 which has signed nine banks up to the initiative.
The other seven are JP Morgan, State Street, UBS, Royal Bank of Scotland, Credit Suisse, BBVA and Commonwealth Bank of Australia.
Technical meetings with the banks had prompted discussion of how it could be used within banks' trading arms, said David Rutter, head of R3 in an interview with Reuters.