Baby deer are more likely to survive if they use this selective technique rather than simply fleeing to the closest refuge.
The study in the journal Animal Behaviour, followed white-tailed deer fawns in the Great Plains of the US.
The fawns' behaviour was a surprise to the research team, they said.
"We expected them to look for cover as soon as possible and try to take that cover… (but) they actually went to a better cover rather than the first available," says Jonathan Jenks, distinguished professor of wildlife and fisheries sciences at South Dakota State University.
Fawns selecting grassland and wetland habitats to conceal themselves in were found to be more likely to evade predators such as coyotes, even if it meant them running greater distances to reach these terrains, the study said.