We have Nginx as a reverse proxy in front of Tomcat. Both of them log access with ISO 8601 timestamps, but tomcat adds in milliseconds (which is part of the standard). So if Nginx gets a request and passes it onto Tomcat, the Nginx log might have a timestamp of "2015-10-29T00:37:02+00:00" and Tomcat will have a timestamp of "2015-10-29T00:37:02,106+0000" for the same access. I'm not concerned about the minor differences in formatting, but not having milliseconds (the ",106" part in the Tomcat log) is a problem because it prevents us from correlating the logs correctly.
Is there any way to make Nginx include milliseconds in it's logs?