In rewatching ep 5, I noticed that the Tribble is no longer on Lorca's desk when Saru and Michael have their discussion about the Tardigrade.
https://imgur.com/a/zE4uL
Then I remembered wondering about something from The Butcher's Knife. In this shot of the lab, there is a dissected creature's carcass in the left foreground. Could it be the Tribble? It looks small, furry and similar of color to the one that was on the desk. It looks roundish in shape on the right side and with it's skin peeled back a little and guts examined. ICK.
https://imgur.com/Of9ywXt
You can bet everyone will be expecting it to react to Tyler. But what if it's already dead?
I do know that Lorca not only has a tribble - dead or alive - in his lab but he also has a Horta hatchling under a container. It's visible behind him when he's talking to Burnham.