Hywel Dda University Health Board says the number of people going to accident and emergency departments has increased at all of its hospitals this month, compared to last month.
It says some planned surgery has been postponed, so resources can be redeployed to A&E units, but it is working to ensure patients are not delayed in moving out of hospital and into more appropriate care.
More top news
It's hoped more people will consider using their local service amid concerns over the future of the bus industry.
Dry across the country this evening with broken cloud and some late sunshine. Scattered showers expected tomorrow.
40,000 people are expected at the motorbike event in the capital this weekend.