Is it bad for my health if I don't sweat after I excercise?

I’ve been running a mile or so for the past week and I don’t sweat hardly at all. I have taken about a year off of exercising and have gotten pretty outta shape in that time. But I would think that since I haven’t been working out for that long and jogging in 105 degree weather, it would really make me sweat a lot. Is this normal?