Saving seeds from a diseased plant?

[RT_Peasant]

Hi, I had a tomato plant this year that I was hoping to save seeds from. It fell victim early on to a disease, but it looks like it's still going to produce some ripe tomatoes! Can I safely save seeds from these tomatoes, or are the seeds likely to carry the disease with them? I can already guess what the answer will be, but I'm hoping it will be "it depends on the disease."

I've attached some pictures of the affected plant. FWIW, the disease struck the top leaves first, early in the season (barely past Memorial Day), and from the outer-most leaves inwards.