There are a few diseases that can infect your new plant. Bacterial leave and stem spot, fusarium leaf, stem and root rot, among others are the diseases to look out for. The signs of a bacterial infection include wet, slimy leaves and black roots.
The problem with disease on these plants, is that you unfortunately cannot do much about it. If your Ti plant develops red-brown, tan, spots with a yellow halo, or purple-bordered spots on its leaves or stems, there is a good sign it is suffering from leaf spot or stem spot disease. A way to reduce the risk of disease is to avoid watering from overhead and to apply a houseplant fungicide.