Staff are feeling 'anxious and concerned' over the future of their jobs after Ford's plans to cut 1,000 jobs at its site Bridgend.
The First Minister met with Unite representatives at the plant this morning following the news last week.
It is understood there are plans to cut a total of 1,150 job losses in the UK - with almost 1,000 at the Bridgend site - the hardest hit of any of the firms UK Factories.
The plans to cut jobs have been in place since 2017.
However, although he said that the message he got from the meeting was that Brexit was a 'background factor' in the company's cost cutting plan, he didn't dismiss Brexit's part in fuelling uncertainty about future investment in Wales:
Mr Drakeford emphasised that the Welsh Government will try to persuade Ford to bring more work to Wales in the future.
Ford said it was starting formal consultation with its works council and trade unions, adding that it was committed to working with its key stakeholders over the new strategy.
The announcement came on the same day as Jaguar Land Rover said it was axing 4,500 jobs and Honda said it was halting production for six days after Brexit.
Unite Wales said they 'will not accept a single compulsory redundancy':