University students will play an important role in making decisions that will affect the environment, as future leaders of our society. Their level of sensitivity and environmental knowledge will play an important role in adequately facing future challenges. This article aims to measure the sustainability awareness of a sample of future graduates in Physical Activity and Sport Sciences in Spain. The literature supports that the sensitivity of these students can be estimated by using the Spanish adaptation of the SCQ-S. This allows for establishing the level of knowledge, attitudes and behaviour pertaining to sustainability in three dimensions: environmental, social and economic. The sample consisted of 170 students (58.8% males; 41.2% females) with a mean age of 20.5 years (±4.039). The overall Cronbach’s alpha showed a fairly good value (α = 0.836). The same was true for the Kaiser–Meyer–Olkin test values (KMO = 0.816) and Bartlett’s sphericity test (p < 0.001). The knowledge construct (4.56 ± 0.53) was the highest descriptive, followed by attitude (4.12 ± 0.59). The lowest value was behaviour (3.79 ± 0.66). By gender, girls obtained the highest sensitivity indexes. In addition, the place of habitual residence and physical activity in the natural environment were related to the overall behaviour of the university students. It is concluded that being in active contact with the natural environment allows us to have a higher level of awareness.