Under-the-table refers to actions or dealings that are done secretly or illegally. As such, antonyms for this phrase would be words that indicate honesty or transparency. Some of the possible antonyms for "more under-the-table" could include words like above-board, legitimate, ethical, honorable, lawful, legal, open, overt, public, and transparent. For example, a company that is open and transparent about its financial transactions would be considered above-board. Honesty should always be the goal in business dealings, so it is important to strive to be above-board rather than to engage in under-the-table transactions.