ecommerce log doesn’t log visitor data when cookieless tracking is activated

Cookieless tracking works well, the visitor’s actions across the site are logged and profiled properly.
However, when cookieless tracking is activated, in case of an ecommerce purchase, Matomo creates a separate entry for the purchase unconnected to the respective visitor data, instead of associating the purchase with the visitor profile. Other than the purchase, the visitor data is logged correctly even with cookieless tracking.
If cookieless tracking is deactivated, the Ecommerce purchase is successfully associated with the respective visitor data.

I don’t know if this helps, but I reviewed Matomo’s mysql tables and found out, that when cookies are allowed, the visitor ID in wp_matomo_log_visit (idvisit) is set as the same as the visitor ID in wp_matomo_log_conversion ,so that the two entries are associated. On the other hand if activate cookieless tracking the entry in the visitor log and the entry in the conversion log are logged with a different idvisit and therefore aren’t associated.
Should be possible to change the code so that the association between the DB entries happens even in case of cookieless tracking I assume? Thanks!