The move is the latest in management turnover after a multibillion-dollar trading loss, The New York Times reported Sunday.
Bisignano is expected to leave as early as this week. JPMorgan Chase has suffered trading losses of more than $6.2 billion since they were first disclosed nearly a year ago, the Times reported.
Bisignano will become chief executive of payment processing firm First Data Corp., the Times reported.
Matt Zames, Bisignano's co-chief operation officer, is expected to take over all aspects of the job, which people close to the matter said should make for a smooth transition.
Bisignano was promoted to co-chief operating officer in July as part of a broad management reorganization.
Bisignano established a reputation at JPMorgan as a sort of Mr. Fix-It, and his reputation had not been sullied by the outsized bets made by traders in the bank's chief investment office.
N.J. man wakes up from 10-hour sleep with knife in back
Puzzle-maker slips 'Murdoch Is Evil' into Rupert Murdoch's Sunday Telegraph