Thank you for posting this and updating what they told you. . I've been having what sounds exactly the same as you and wasn't sure what it was.
I am also 39w2d and have been experiencing this all day
I had the same last week now seems my discharge are really small. Midwife says it's normal.
I went into labor and delivery just to be sure and my water didn't break so it must of been discharge. They checked my cervix and told me that I'm 1cm dialated and 25% effaced. Looks like my baby will never come
Try sitting and standing again. If it continues to leak, it is likely your water. Also try lifting and moving your belly around. Same thing. Best of luck!
I had this 2 days ago and was also 39+2.
Its since slowed down and almost stopped. I'm assuming it is the body cleaning itself in preparation for birth :)
If it was your water breaking, it would continue to leak. Lie down for half an hour and stand up, if you leak it's very well possible that it's your waters. Good luck mama!!
Depends is there a smell to it? Amniotic fluid is clear and has no smell. You would also keep leaking as well. I know during the last few weeks of pregnancy your Cervix releases fluid as well. It also could be your mucus plug. Are you having contractions? I would call your doctor regardless just to be sure. Sounds like you may be getting ready to go into labor. Good luck!!