For most people with bothersome tinnitus, yes — at least while you are habituating. Total silence does two unhelpful things. It removes any other sound your brain could attend to, which throws the contrast all the way to the tinnitus, and it deprives the auditory system of input, which can nudge central gain up further.
The TRT model goes one step further and explicitly recommends low-level sound enrichment essentially all day: ambient environmental sound, a soft fan, very low background music or broadband sound. Not loud enough to mask, just enough to break the silence.
There is an important nuance. Avoiding silence is different from overprotecting your ears with earplugs in ordinary environments. Wearing earplugs in normal rooms because everything feels too loud (hyperacusis) is the opposite trap: it deepens sensitivity over weeks. Earplugs belong in concerts, power tools and motorbikes, not the supermarket.
So: do not seek silence. Do not over-block ordinary sound either. Keep a gentle, varied soundscape around you.