The couple - who met on the set of `Northern Lights` in 2009 when both of them were married to other people - are set to wed after Eddie recently popped the question, sources told E! Online.
The news of the engagement comes days after Eddie posted a photo of himself on twitter down on one knee and holding LeAnn`s hand.
He jokingly captioned the image: "I couldn`t resist."
The following day LeAnn reacted to the picture on her own account, admitting it had been staged.
She tweeted: "They`ve Bern saying we`re engaged for a while now, so we thought we`d have a little fun! (sic)"
LeAnn recently insisted she never set out to hurt anyone when she got together with Eddie even though he was a married father-of-two while she was still with ex-husband Dean Sheremet.
She said: "You have two couples whose marriages didn`t work. We stumbled upon each other and fell in love. Never was I thinking of hurting someone. I can`t change minds. Nothing I`m going to say is going to change it. I do know that and I have accepted that."
Eddie also revealed how he hoped people would come to accept their relationship because they`re so happy together.
He said: "The truth is that we`re human beings. We make mistakes and we learn from them, but we`re human. We fell in love. We`re talking about something that`s over a year, year and-a-half old, really and we`re still together and we`re madly in love. And I think people are finally seeing that, but it doesn`t mean that people will accept it or the tabloids will stop trying to print lies and try to tear us apart or tear us down. We`re really happy in what we feel privately."