Rhodri Morgan, chair of the select committee on public administration, has told HSJ that he may resign following his election to the Welsh Assembly as member for Cardiff West.
'They have to find a replacement. I'd like it to be soon,' he said.
Three of the seven Scottish Parliament and Welsh Assembly candidates featured in HSJ election coverage were elected last week.
Renal unit administrator Janis Hughes took Glasgow Rutherglen for Labour and in Wales, Blaenau Gwent was won for Labour by former Gwent Healthcare trust chair Peter Law.
Plaid Cymru health spokesman, GP Dai Lloyd, came second in Swansea West, but was elected through the 'list' system.