The Collaborative International Dictionary of English v.0.48:
Suave \Suave\, a. [L. suavis sweet, pleasant: cf. F. suave. See Sweet, and cf. Suasion.] Sweet; pleasant; delightful; gracious or agreeable in manner; bland. -- Suave"ly, adv. [1913 Webster]WordNet (r) 3.0 (2006):
suavely adv 1: with suavity; in a suave manner; "he is suavely charming and all the ladies love him"