JPMorgan and 10 other banks announced last week that they were depositing a combined $30 billion in First Republic.
The alternatives may include a capital raise, the sources said, which could dilute current shareholders. A sale of the bank is also a possibility.
The Wall Street Journal reported earlier that JPMorgan and its CEO, Jamie Dimon, were working with others in the industry on a solution for the bank, whose shares are down 87% this month.
JPMorgan and 10 other banks announced last week that they were depositing a combined $30 billion in First Republic, which has suffered from large cash outflows in the wake of the collapse of Silicon Valley Bank.