Vibration felt when veering left on 2007 Dodge Ram 1500

When I am driving and I attempting to hold the wheel straight I can feel a vibration on the left tire. I just put new brakes on the truck about a month ago. The tires are older and will need to be replaced. Could this be just the tires or an alignment issue? I have noticed I have to hold the wheel slightly off center. Please let me know. Thanks!

Asked by for the 2007 Dodge Ram 1500
Have front tires checked along with alignment.
I planned on doing that this week. I'm just wondering if anything could be rubbing on the tire or if it could be something larger.