does a newborn really need a crib?

🇳🇴ES🇳🇴🇮🇸
My fiancé and I will be moving from a smaller apartment to a much bigger one with space for a nursery about 2-3 months after our baby is born. 
The current apartment doesn't have space for a nursery so we were thinking rather than buying and building a crib during those first few months, we could just use the baby carriage as a bed instead. It's the perfect height to have next to our bed and is so nicely portable that if I need to move at night it's easy. Is there a reason we really ought to have a crib instead?
For reference, it's a bed like this.