If there was no pressure from the student or from his family to get a degree then I would encourage him to learn for as long as possible, unfettered, enjoy his experience, grow and worry about university later. Only worry about it when, if, that ever comes l’maisa. 

But until that time, I would not preemptively say a degree is something you have to have. Some people do. Some people don't. Some people can get it later in life. Some people can't. It really depends on the person. 

However, if it becomes clear that the student does need to have a degree; need and want to have a degree, then the yeshiva does offer serious programs. Now with online universities becoming very common since the corona age, it is something that can be done within the confines of the yeshiva without having to leave. 

We've discussed in another post (What happens after a few years in yeshiva?) that it's a good idea to stay in an environment where you have your relationships built and growing and developing with your rabbis, and chaveirim. And to do that while you're studying in university would be a gift. Contrasted to being an environment where your rabbis aren't there, your friends aren't there and your learning is not there, to be in the Yeshiva environment has a tremendous benefit.  

We have several boys here, who are right now studying for their Master’s level degrees in the Yeshiva. Bircas HaTorah has relationships with certain universities in the United States. We have talmidim that are right now getting their Master of Education, Master of Business or Master of Clinical Mental Health; serious degrees where they are preparing to be able to make a parnassa for themselves in a kosher and honest way, while they're here in Yeshiva and learning. 

So, I can't say we encourage it, but, in the modern world that we live in, it is almost a necessity at this point, and the yeshiva does recognize that and facilitates it as much as possible.