Did you get switched to Depo Provera? I also had a DVT due to oral contraceptives and was switched to Depo...and then my hematologist said that as long as I'm on ANY kind of hormonal contraceptive, I have to be on warfarin (which means that I'll be on the stuff until I hit menopause or have a hysterectomy/oopherectomy, since I'm taking the stuff to treat my endometriosis). You may want to inquire about that.
Regarding your question, I can't say that I've had any symptoms of dizziness at all with the warfarin, but that's not to say that there isn't something unique about your body that I don't have that causes it. You may want to talk to your physician and see what he/she has to say. It's also been 2 years that I've been on warfarin, and I can't remember if I had any funky symptoms or not when I first started on it.
I hope someone else has a better answer than I do!
Camp Good Grief 5k 2012 - 31:50
Gobble Wobble 5k 2012 - 30:00
Turkey Trot 4 Mile Race 2012 - 38:38
Ugly Sweater 5k Fun Run 2012 - 27:19
Move-It Memphis 10K 2013 - 55:36
Germantown Half Marathon - 2:08:53
FedEx St. Jude Classic Fairway 5k - 4/13/2013
Pittsburgh Half-Marathon - 5/5/2013