Crypto bulls have long championed bitcoin as a modern-day replacement for gold, and by one measure, the new market is already close to surpassing bullion in that respect.

The total value of the cryptocurrency market now stands above $2 trillion, putting it on nearly equal footing with the amount of gold held for private investment purposes, according to a new report from Bernstein.

“Investors need to find return streams that can hedge debasement risk and be a diversifier of equity risk at higher levels of inflation. These assets [cryptocurrencies] might have the potential to perform that function,” the firm said Tuesday in a note to clients.

Crypto has gone mainstream amid support from companies and institutional players, and investors are increasingly viewing digital currencies as a reliable store of value and a way to diversify portfolios. Bitcoin, the largest cryptocurrency, traded around $43,300 on Tuesday putting its market cap at roughly $800 billion, according to data from Coin Metrics.

But Bernstein was quick to note that both gold and digital currencies have other uses. When gold jewelry is thrown into the equation, the precious metal’s market worth is closer to $8 trillion, by Bernstein’s calculations, making it roughly four times the size of the crypto universe.

Additionally, there are important differences between cryptocurrencies. Bernstein said that Bitcoin is primarily used as a store of value, while other digital currencies like Ethereum have functionality beyond being held as an investment.

Bernstein’s call echoes comments from large money managers who have pointed to the ease with which bitcoin is traded as potentially making it more attractive than gold as a safe haven asset and hedge against inflation.

“It’s easily transportable and can be sent anywhere in the world if you have a smart phone so it’s a much better version, as a store of value, than gold,” Bill Miller, founder and chief investment officer at Miller Value Partners, told CNBC in April. “It [bitcoin] is so much more functional than passing a bar of gold around,” noted Rick Rieder, chief investment officer of global fixed income at BlackRock.

Still, questions remain around bitcoin’s long-term viability, including from regulatory and environmental standpoints. Last week bitcoin prices dropped after Tesla CEO Elon Musk said the company was suspending accepting the cryptocurrency as a form of payment for vehicles due to the “rapidly increasing use of fossil fuels for bitcoin mining.” Musk later clarified on Monday that the company has not sold any of its bitcoin position, which was first revealed in February as worth $1.5 billion.

Looking forward, Bernstein’s Harshita Rawat believes bitcoin can displace gold once some of the regulatory and environmental questions are answered.

“Bitcoin can more easily be used as a store of value in any part of world (especially in countries with unstable fiat currencies) and is very liquid,” she noted, pointing to the cryptocurrency’s 24×7 network and near instantaneous transactions. “The implications as a store of value, particularly in certain countries/regimes, are significant.”

She said bitcoin and cryptocurrencies more generally have “reached a tipping point” in terms of “institutional/retail adoption, dollar investments, talent working in the industry and liquidity.”

That said, Rawat’s colleague Inigo Fraser-Jenkins is less certain about how investors will ultimately view bitcoin over the long-term. Among other things, he pointed to gold’s 5,000 year history compared to investors only recently viewing bitcoin as able to retain its value.

He argues that it will be many years before bitcoin can establish enough widespread trust to make it a true safe-haven asset. “There are very broad economic, legal and cultural issues at play here. Any claim that these can be overcome in a short period of time seems hard to accept given their deep social nature,” he said.

– CNBC’s Michael Bloom contributed reporting.