Ah, I do the same, actually, that's why I wrote this article... I think it may be normal these days?
Maybe it has something to do with our "common enemy" — the pandemic that has already given many deaths in this world. The media are also influential as it gives us all the pieces of information in front of our faces as we speak. In my case, I've stopped reading the news unless it's really necessary. Since then, I don't think about "death" as often as before.
However, if you have obsessive thoughts about death, I believe it may be a sign of anxiety and/or depression, you may want to check or consult it with professionals...