In this paper we deal with the estimation of the room impulse response (RIR) between each loudspeaker and each microphone of a wireless acoustic network of two nodes when used to implement a crosstalk canceller. The nodes of the network are commercial devices connected via standard wireless links, presenting low computational requirements and non-ideal synchronization between them. Moreover, the nodes can exchange information, but they cannot share their signals due to the high throughput and perfect synchronism that would be required. The proposed scheme adaptively estimates the global impulse response between the source signals and the recorded signal at each node of the network, and afterwards estimates the corresponding RIRs between each loudspeaker and the node's microphone. This scheme does not need any additional synchronism between loudspeakers. Simulations show that proportionate-type affine projection algorithms obtain good performance for order N=4, being their cost affordable in commercial devices.