I have a 1987 dodge dakota v6 w/ 350000 miles

. When I use my brakes I hear a hissing sound. It doesn't stop unless I take my foot off the brake, other than that it is non stop. I am not losing any fluid. The brakes don't seem spongy or anything so far, but this just started 2 nights ago. I was told that the brake booster could be the problem, does this sound right?