More and more banks are eager to unload their Paycheck Protection Program loans — and some nonbanks are more than happy to take them off their hands.

The Loan Source, a nonbank small-business lender in New York, said it has acquired more than 20,000 PPP loans, with more than $2.9 billion in outstanding balances, in recent weeks. The company, which has finalized deals with 14 lenders, has more in the works.