"We are still working out the details so nothing is set in stone, however we are leaning towards a socialized loss scenario among bitcoin balances and active loans to (bitcoin/dollar positions," the Hong-Kong based company said on its website on Friday.
Bitfinex revealed it had been hacked on Tuesday and suspended trading, causing prices of the digital currency to fall significantly. A total of 119,756 bitcoins, worth $68 million at current prices, were reportedly stolen as a result of a security breach.
The company added in its latest statement that nothing had yet been decided and it was still settling positions and account balances.
Bitfinex's "socialized loss scenario" most likely means it will distribute its losses among all of the platform's users, according to Charles Hayter, chief executive and founder of digital currency comparison website CryptoCompare. This would mean users whose bitcoins were never originally stolen would be affected.
"In essence, (this is) a haircut for all users on their deposits. To what degree depends on the devil in the details and what the total capital held by BitFinex is," Hayter told CNBC via email.
According to Hayter, the theft represents about 0.75 percent of all bitcoins in circulation and between 10 and 30 percent of BitFinex's capital holdings.
"Some users who were not hacked will feel angry at having to stump up their funds to cover shortfalls elsewhere on the exchange. Whether it's the right decision or not - time will tell," he added. "Other exchanges have funded the losses off their own book - but then the losses weren't so extreme."
The crypto-currency traded around $570 per bitcoin on Friday, which is a drop of about 12 percent compared to the end of last week. However, longer-term bitcoin holders are doing well: over one year, its value is up 105 percent.