Just keep an eye on the spotting and if it doesn't stop in a few days I'd maybe call your doctor, hopefully the spotting only lasts for a day or two then goes away.
It's usually nothing to worry about, unless it turns red and gets really heavy even at that the hospital tell you it's normal alot of women get bleeding during their pregnancy and go on to have a normal pregnancy and a very healthy baby :) I'm 13 weeks and 5days pregnant today i had some bleeding when i was about 7 weeks lasted a few days then went away i went to my doctor and got told its nothing to worry about, had my first scan last week and seen my healthy wee baby :) so don't worry too much I'm sure it's fine x