Earlier this year the trust, chaired by community paediatrician Dr Johan Morreau, funded another 100 bed pods. So far about 40 of the pepi pods have been handed out.
Spokeswoman Shan Tapsell said the pepi pods weren't for all babies. "They are a public health solution to the increased risk of sudden infant death for certain babies in certain conditions."
She said the babies who benefited most were those with a weakened drive to breathe due to smoking in pregnancy, being premature, a low birth weight, formula-fed or some other reason.
Those babies had a weakened "wake-up response" compared with other babies and are slow to detect danger when oxygen levels reduce, she said.
The health board's safe sleeping co-ordinator and midwife Gwen Baars has championed the pepi pods.
"All people in all cultures need to know these messages to help protect babies [from sudden unexpected death in infancy]. The idea of the pepi pods is to have settled babies, more aware parents and the spread of safe sleep information across the community. We want every sleep to be a safe and smokefree sleep."