Because Tesa was primarily tested on a pretty sickly population, a lot of potential drug interactions were observable in trials. A lot of subjects were on AAS, ie, Testosterone.
TLDR, if you're taking any diabetes drug, keep an eye on glucose levels. That's about it.
It's also mentioned that if you have a disease impacting the HPA axis, it may not be suitable. Given that growth hormone does this, perhaps best to avoid combing them.
Here are the drug interactions.
48 drugs are known to interact with tesamorelin.
www.drugs.com