Image source, Image caption, Routine surgeries have been delayed due to the pandemic
The Ministry of Health "cannot rule out " the suspension of routine services during the winter months.
Eluned Morgan said pressure on staff could force some health boards "to look at the way they deliver their services ".
The NHS Wales boss Andrew Goodall said he is facing its " longest perioddifficult because it tries to catch up with a delay in planned treatments.
Measures also remain in place in hospitals to stop the spread of Covid.
"We are very keen to see the health boards try to do as much of the routine work as possible, but I can't make any promises as we still don't know what we're going to face this winter, ”Morgan told Hfrance. en The program of Wales Live .
The first wave of the pandemic saw surgeries anvoids to help free up beds, and although the third wave brought in fewer Covid patients, they are still adding to the pressures.
As of Tuesday, the daily average of confirmed Covid patients was 432 - the highest figure this month to date, although well below figures seen in previous waves.
Scientific modeling for the Welsh government suggests we are heading for a peak in the coming weeks in terms of cases d 'Covid hospitals although a new report says "the exact turning point is not clear ".
Ms Morgan was also asked about the restructuring of vascular services at Betsi Cadwaladr and said she 'she would keep the board of health “hot” for better results.
Media caption, Pete Calley: 'He was such a happy person ... but he was is gone '
Esyllt Calley from Llanllyfni, Gwynedd, is adamant that the removal of specialist services from her local hospital in Bangor has been detrimental to patients like her husband, Pete.
S ince 2019, residents of North Wales have had to travel to access a central vascular service in Bodelwyddan.
Pete, 51, awaits an operation to amputate his second leg due to complications from the diabetes he has lived with for 22 years, his wife saying "I have lost the man I married ".
"I have spoken to people who are very disappointed with the restructuring this has happened in North Wales and I have spoken to the health council of the restructuration and we expect better results, "the health minister said.
Board of health says it remains" committed to providing stable, high-quality vascular service for North Wales ".