Greg made his first appearance on screen back in October, having been mentioned as the new love in Tanya's life some months earlier. However, the pair have only been appearing on screen infrequently as they are currently still living away from Albert Square.
Speaking to Digital Spy at a recent photo shoot for Gay Times' Naked Issue, Booth was asked whether the characters will come to the fore in the months ahead.
He replied: "I hope so… It's funny, because people want to know what's going on at the moment because there's been a big press release that I'm in EastEnders, but I had lots of prior work commitments before I came in, so I'm in, then I'm out for a bit, then I'm back in.
"Jo Joyner, who plays my on-screen fiancée, has also just come back from maternity leave. We haven't quite hit the ground running as a couple, but yes, I'd like to think that our future could sustain a very healthy and long-term relationship. But I have no idea what they've got planned."
The actor said that he is having "a lot of fun" at EastEnders and will appear on screen again from mid-December.
Asked whether Tanya's heart belongs to Greg or her ex-partner Max, he replied: "You know what I think about that! Of course I want her to be with Greg. Greg loves her. Greg absolutely adores Tanya and I think she knows that.
"She probably hasn't had that sort of doting affection from her previous partner. He's just there as a rock for her, no matter what happens. I think that's what she's been after - someone that's going to be true and genuine."
> Click here to watch our video interview with Stefan Booth