The outflow was partly because of low investor participation due to seasonal effects, also seen in other asset classes.
Despite experiencing outflows for the fifth straight week, assets under management in digital funds hit their highest level since mid-May.
Comprehensive income, a profit measure that includes the change in the value of digital assets, climbed more than fivefold.
Monday's bitcoin rally could encourage digital-asset inflows because many investors have been on the sidelines since the sell-off in May.
Ethereum funds saw inflows rise for the third consecutive week.
China’s announcement preceded choppy price moves around $34,000, which left traders with little sense of direction.
The purchase also gives CoinShares access to Elwood’s equity-research team.
Net outflows from cryptocurrency funds totaled $44 million for the week ending June 25, marking the fourth consecutive week of redemptions.
The amount of money leaving was significantly less than the previous, record week of $141 million.
Investors redeemed a net $141 million during the seven days through June 4, the highest weekly total on record, according to CoinShares.
The three CoinShares ETNs are tracking bitcoin, ethereum and litecoin.
The Nasdaq-listed digital asset manager reported a year-on-year increase in comprehensive income of $34.9 million.
Investors have been diversifying out of bitcoin and into altcoin investment products, according to CoinShares.
"Reaching $1 billion in only three weeks speaks to the enormous market demand for bitcoin," said Fred Pye, CEO of 3iQ.
Ether attracted $30 million of inflows during the seven days through April 30.