Is It Normal For My Toric Contact Lense To Slide Down?

I just got contact lenses last Tuesday and I wear a Toric lense in my left eye because of my astigmatism. I can see great (although my left eye is occasionally slightly blurred for a moment), but I can always sort of feel my Toric lense, and it seems to be slid down a bit from my iris (isnt that the colored part of the eye??). My left eye isnt uncomfortable (and I’m sure that the contact is put in correctly), it’s just that on my right eye, the contact is lined up perfectly all the time and i can’t feel it. Is this normal for my Toric lense to be slid down some?