I noticed the relief immediately when I heard that noise, so if it doesn’t, might be worth shopping around for a tinnitus scrubber sound that works for you. The gentleman who made that noise in the link I posted makes many others. My tinnitus is in the very high frequency range, above 15.5khz, and I don’t think is tied to any hearing damage— at least as far as the audiologists can tell. If you have a lower frequency ringing you might need something closer to “brown noise”.