There are several synonyms for the phrase "almost falling." Some of the most common ones include teetering, tottering, stumbling, swaying, and wobbling. Each of these words implies a precarious state, where someone or something is struggling to maintain balance and may be on the brink of taking a tumble. Other synonyms for "almost falling" could include tripping, slipping, faltering, or losing one's footing. No matter how you describe it, the sensation of almost falling is intense and memorable, and these synonyms can help you capture the feeling in your writing.