Breastmilk storage?

I have an oversupply and have recently had to start pumping for a few minutes before feeding my daughter. I have been saving the milk (it’s mostly foremilk) to mix with purées and such in the future. I currently have bags of milk frozen in the freezer, but would like them in the deep freeze. They have been in the freezer for a day. Can I move them to the deep freeze?