A widespread species with no known major threats. Listed as Least Concern.

Groenlandia densa is a Eurasian species. Its distribution encompasses Europe, western Asia and North Africa. It was introduced in boreal America and in Australia.

In North Africa it can be found in Morocco, Algeria and Tunisia. Its extent of occurrence exceeds 20,000 km², within which the AOO >100 km², and it is present in several locations.

The species is common in the Mediterranean region with numerous locations. The populations appear to be stable.
- Morocco: quite common, occurring in several locations distributed between the Middle Atlas, the High Atlas and the Zaiane district;
- Algeria: fairly common, occurring in numerous locations distributed between the coastal Algérois, the Tellian Atlas (Constantinois and Oranais regions), the Constantinois high plains and the Saharan Atlas;
- Tunisia: rare, occurring in only two locations - south Tunisia (Gafsa) and the Tunisian Dorsal (Sakiet Sidi Youssef).

It is a perennial herbaceous plant (Hydrophyte) that inhabits stagnant and current water (springs, pools, streams and cold rivers). Flowering occurs during spring and summer (May-July). It is an indicator of oligotrophic water.

The main threat to this species is the drainage of its habitat but it is not considered as a major threat to the species.

There are no conservation measures in place or needed.