Passive Losses transferable to next property?

[Mike D.]

We have almost $30k of built up passive losses from depreciation, repairs and improvements. Due to our income being over the AGI cutoff we are only able to apply these losses to the cash flow of the apartments we own, which could take a couple more years.

However if we were to buy another building using a 1031 exchange, are these passive losses allowed to rollover to the new property? Or do they have to stay with the building they were incured on?

Thanks