The versatile Demon is hoping to be back wearing the red and blue against the Western Bulldogs in round eight or the following week against Hawthorn.
"They (the doctors) say it'll take three to four weeks before the break properly heals and then it's just a matter of getting out there and playing, so I'm hoping to play in two to three weeks," Green told melbournefc.com.au.
"It's the longest stint I've had off in a season, so that's a bit weird. I've had a couple of two-week stints [on the sidelines], when I strained my hamstring last year and in my first year I missed a game or two with OP (osteitis pubis).
"I've improved every day. I'm talking normally again and my face is starting to look normal again. I've seen the surgeon a few days ago and he said everything is going fine."
Green said his face was like a "big bubba fish" when he collided with Tiger Alex Rance.
"I remember everything. I didn't get knocked out, but my face was blown up. When we collided, I had bells ringing in my ear and then all of a sudden, blood started coming out of my mouth," he said.
"I could touch my teeth with my tongue and I thought my teeth were out of place or they were knocked out, but I thought if that's the worst, then they can be fixed up.
"As I was coming off the ground, the doctor told me to hold the towel against my mouth to stop the bleeding. Once I got to the bench, the doc said: 'There is a big dent in your jaw'. They knew straight away that it was a bad break."
Still, the left-footer was desperate to find out how his team had fared after he was taken to hospital.
"It happened around the 20-minute mark of the first quarter," Green said.
"After being rushed straight to hospital in the ambulance, I was as high as a kite on morphine when I was in hospital, but I was still trying to get the nurses to find out what the scores were for me.
"I was pretty rapt to find out the boys had got up and I do remember pumping the fist."
After coming home from hospital, Green went onto a pretty tough diet.
"I was drinking and eating everything through a straw. I've become a bit of a soup connoisseur. I've since been able to eat some fish and mashed veggies," he said.
"At the moment, my jaw isn't too sore, but brushing my teeth causes the most pain."
Green has started running and is looking forward to recapturing his strong early season form.
"As a senior player in such a young team, I was just trying to be consistent and offer support," he said.
"I felt as if I was in reasonable nick and playing some good footy. I was playing more as a forward and kicked nine goals in three games, so that was going okay."