Winter 20 announces near real time Event Monitoring and this includes UriEventsApiEvents and UriEvents
In both event types, you have access to the URI, client IP address, and SFDC UserID of the running user (among other fields such as statistics on run time)
Available to customers who purchased a Salesforce Shield or Salesforce Event Monitoring add-on subscription. To view or manage events, enable the View Data Leakage Detection Events user permission.