Jaymi, who has had a boyfriend for the past three years, opened up about his sexuality at the weekend.
Speaking about other gay talent show stars including Pop Idol's Will Young and former X Factor winner Joe McElderry, Jaymi said: “They’ve been an inspiration and hopefully I can be one too.
“If I can help just one kid out there, that is enough for me.”
Speaking to The Sun, Jaymi said the support from fans has been amazing, and he's not receieved any abuse.
He told the newspaper yesterday: "It’s been amazing, really amazing. I have not seen one negative comment.
“I want to say a massive thank you for people’s support. It has been incredible."
Jaymi added: “I have already had messages from young gay guys saying ‘thank you so much, I can look up to you’, and that’s what I did it for.”
Jaymi’s Union J bandmates — Josh Cuthbert, George Shelley and Jamie “JJ” Hamblett — tweeted their support over the week: “Wanted to say how proud we are of our brother Jaymi for coming out and being proud of his sexuality! We are SO proud.”
The X Factor 2012 continues this Saturday on ITV1 and ITV1HD, with the final five acts sing two tracks each with Abba and Motown themes.
Sunday's results show will see one more act get the axe, and there will be performances from Rhianna, Tulisa and Bruno Mars.