Education has undergone the greatest revolution since the 19th century. The pandemic has massively launched teaching towards the use of ICTs and online education. The main objective of this research is to study the relationship between the adaptation of university faculty to the massive use of ICTs and educational digitization, and the promotion of SDG 4, which establishes Target 4.3, ensuring access to quality university education. To achieve this, a descriptive study methodology is used, in which the results of a validated survey, on a sample of 245 teachers from 32 public and private Spanish universities, were analyzed. The main results consist of the different emotional reactions among professors, finding that, on the one hand, ICTs allow for the development of new skills, the introduction of new methodological proposals, and the development of a positive attitude towards the use of digital tools in order to reach all of their students. However, on the other hand, the results also show that the use of ICTs caused an increase in anxiety, workloads, and the need for ongoing training. There is a need to continue improving the digital competencies of faculty professors in order to favor access to ICTs by university students and, thus, promote quality education worldwide.