P.A.
M., I had the same issue during my pregnancy. I too was on strict bed rest, drinking lots of water. (be careful on bed rest, that's when I started to gain a lot of weight b/c I wasn't active.) I had to have an er c/s because I too was getting monitored everyweek and one day I thought I NEEDED to be checked and I just wanted it over...I had been on bed rest from 32 weeks to 38 weeks. my dr. appeased me and found there was 1.5 ml of amnionic fluid ( just 2 days ago there was 4.0ml)and send me straight over to the hospital and my daughter was small but healthy.
My friend had the same due date as I did and she found out at 38 weeks that her fluid was low and her dr induced her that day and she was able to have a healthy big boy.