The antonyms for the phrase "bring pressure to bear" could include "back off," "relax," "neglect," or "ignore." These terms suggest a lack of force or intensity and may indicate a willingness to let things unfold naturally or without interference. Another antonym could be "cooperate" since this implies a willingness to work together rather than dictating or pushing one's own agenda. Similarly, "encourage" could also be an antonym, as it suggests supporting or motivating rather than demanding or applying pressure. In general, antonyms for "bring pressure to bear" tend to emphasize gentleness, patience, flexibility, and understanding rather than rigidity or uncompromising approaches.