The General Secretary-Designate of the Technical, Engineering and Electrical Union has said it is going to escalate its action in the coming days if the union is going to save the lives of the two Green Isle employees who are on hunger strike.
Eamon Devoy was speaking at a rally of about 400 people who marched to the Green Isle plant today in support of three employees who have been dismissed by the company.
In a statement, Green Isle Foods said it views the hunger strike action as unhelpful and said the only way this dispute can be resolved is through the independent mediation currently under way.
Green Isle Foods says this dispute, which began six months ago, relates to its staff members accessing extreme adult material through email accounts and said all employees involved were dismissed.
However, the TEEU - which acknowledged two of the dismissed members were sent this material in emails - said several more people were involved and only a small group was sacked.
Mr Devoy said Green Isle workers cannot download material on to their computers and this had come from an anonymous source.
The union says the issue centres on union representation and a restructuring plan to get rid of TEEU members.
Around 400 supporters marched to the Green Isle plant in Naas this afternoon to show their support for the three dismissed staff.
Two colleagues - TEEU shop steward Jim Wyse and former Offaly footballer John Guinan - are on hunger strike in protest at their dismissal.
Green Isle foods, which is a non-unionised business, says the hunger strike is not helpful.