The proposed , whose case will be heard at an employment tribunal in Stoke on 25 August.
The move could impact a number of Fujitsu's contracts, including with the Home Office, HM Revenue & Customs, Marks & Spencer and the Post Office.
The Unite union claims that Fujitsu has "singled out" Jenney, who worked at the company's Crewe office, and made him redundant, whereas it has helped to redeploy other staff where possible.
It also said that Fujitsu had breached company processes and agreements in the way it had dealt with Jenney's situation. Jenney had worked as an IT professional for Fujitsu for 17 years.
Unite is currently balloting more than 300 members at Fujitsu's Manchester site on taking strike action or action short of a strike over the issues. The ballot was originally due to close on 5 August, but was extended due to "technical issues".