Channel 5 confirmed earlier this evening that the two housemates will be up for the public vote ahead of Friday's elimination show.
A twist in this week's 'Turf War' task meant that only Adam Kelly, Deana Uppal, Becky Hannon, Luke Scrase and Scott Mason were allowed to nominate.
Shievonne and Adam had earlier clashed after she witnessed him calling her "fake" during the 'Turf War' task.
Conor has also hinted that he may decide to voluntarily leave the house in the near future.
Reactions to this week's vote will be shown on tonight's (July 9) episode of Big Brother's Bit on the Side at 10pm on 5*.
Voting for this week's eviction is now open online via the Channel 5 website.