Methods, network node (200) and wireless device (202) for supporting positioning of the wireless device in a wireless network. The network node requests (2:4) the wireless device to provide a positioning related report when a mobility criterion is fulfilled, which criterion may be selected (2:3) based on sensor capabilities of the device. The wireless device monitors (2:5) sensor measurements and evaluates the mobility criterion. When the mobility criterion is fulfilled the wireless device provides (2:6) the positioning related report to the network node which then obtains (2:7) the position or mobility status of the wireless device based on the positioning related report which may contain information related to said mobility status and/or sensor measurements made in the device.