What is the name of this movie?

I saw a movie on TV many years ago(1980's). It might have been a romance. The only scene I remember is that the woman in the story was sick & I think dying . She didn't tell the man she loves about it, but I think somehow he knew something was wrong. She sends him out on an errand, don't know what for, he goes outside, suddenly stops and runs back to the apartment. He finds her collapsed on the floor and I think she died. I was in my tweens and this is the only thing I remember. I didn't see the whole movie, so not sure what the beginning of it is.

10 points to first one who finds it!!!!