the thing you want to worry about is overtraining your legs. i used to do a windsprint 1.7miles on the treadmill on full blast then run into the shower and take a cold shower to cool down. then do weight training. it really beat my body down and i was still in my 20's. today 20 years later no way can i do that.
also it depends on how much effort you are putting into that 1-2 miles. is it just a tempo run or a slow job? or it is balls to the wall sprinting?
my advice is don't run the day of or the day before leg day at the very least