CathB - I don't have personal experience of this, but have just found the following which explains things a bit. It looks as though if they can see no other problems, then you probably have nothing to worry about. Good luck with your scan.
'The umbilical cord normally contains two arteries and one vein. The vein is always present, because the baby could not survive without one. Therefore, the "two-vessel cord" is more appropriately called "single umbilical artery (SUA)".
The main reason there is a note made of it is that in up to 20% of cases, there will be another malformation seen. If there are none on a good anatomic survey by someone specializing in fetal ultrasound, the odds of any problem are very low.
The SUA is not particularly associated with chromosomal abnormalities unless other birth defects are seen.
If there is a malformation, it is frequently in the heart, so make sure that your doc is experienced in looking at fetal hearts. If not, ask to have a fetal echocardiogram by either a perinatologist or a pediatric cardiologist. But if the "4-chamber view" was normal, the odds of a heart defect are reduced by greater than 85%. A single umbilical artery does not usually, by itself, cause any problems - there is no bad effect from not having two arteries, but in a few cases, poor fetal growth has been associated with SUA. Frequent ultrasounds, every 3-4 weeks, can check the baby's growth.
If there aren't any other abnormalities, there is no effect on the baby's future development either - the umbilical arteries aren't needed after birth.
Sometimes the diagnosis is made in error. Color Doppler ultrasound of the area around the fetal bladder can show the blood flow in both arteries and confirm whether there is one artery or two. I've had a number of cases where the "plain view" was not conclusive and the color flow resolved the issue.'