Zigbee to WiFi Communication

I’m a developer and I’m running into a problem working on some software for a medical device company. Currently one of their machines communicates with a remote control via ZigBee, however we would like it to be able to communicate with a web server and/or smartphone via Wi-Fi. I’m wondering if the Xbee Wi-Fi might be able to help me achieve this.

Forgive me if this is a silly question; I’m pretty unfamiliar with ZigBee and its related hardware. Any help would be appreciated.