The introduction of covered bonds legislation also coincides with increasing concern about high household debt in South Korea, Fitch said.
The Financial Services Commission - South Korea's top financial regulator - hopes that issuing covered bonds will facilitate Korean banks' access to longer-term, fixed-rate mortgages, reducing the risk that households with high, short-term debt, suffer an interest rate shock.
An increase in Korean supply is the main driver of Fitch's expectation of higher covered bond issuance from Asia in 2013.
Singapore released draft covered bond legislation in March last year and Fitch expects Singaporean banks to start issuing covered bonds this year.
There is interest in covered bonds across the region, including India, Japan, Taiwan, Malaysia and Hong Kong.
New Zealand banks, starting with the BNZ in 2010, have been at the forefront of covered bond market issuance in the region.