This low-lying plant that requires damp surfaces and does not have a system to transport water is a

This low-lying plant that requires damp surfaces and does not have a system to transport water is a bryophyte

Explanation:

The non vascular plant are the bryophytes who does not possess any vascular system of their own. The examples of bryophytes are liverworts, hornworts and mosses.

The plant without their own vascular system is well supported for their life with water needs due to their tiny sizes which let them diffuse water through their body in and out easily. Some of them do have the conducting tissue but not an organized system.