It will probably work with either ZHA or Zigbee2MQTT (you did not specify which you use) as most Zigbee 3.0 devices have some backwards compatibility mode, read the ZHA docs → https://www.home-assistant.io/integrations/zha#knowing-which-devices-are-supported
However, I still recommend that you buy and migrate to CC2652 (preferable CC2652P) USB dongle. Migrating is extremely easy today if you just make sure upgrade the firmware on it before getting started and they do not cost a lot either, see example → https://community.home-assistant.io/t/iteads-sonoff-zigbee-3-0-usb-dongle-plus-model-zbdongle-p-based-on-texas-instruments-cc2652p-20dbm-radio-mcu-now-sold-for-19-99/340705