BF at hospital

Hi Mummies, am wondering if there will be leakage in the other breast if we do DL for baby in hospital? Do we need haaka pump to collect the milk/colustrum from the other breast during DL? But i am worried if we can feed the baby with the colostrum collected in the Haaka as it is so viscous, maybe not suitable to put it to bottle to feed afterwards. How do you all manage??