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."