The Collaborative International Dictionary of English v.0.48:

evasive \e*va"sive\ ([-e]*v[=a]"s[i^]v), a. [Cf. F. ['e]vasif.
   See Evade.]
   Tending to evade, or marked by evasion; elusive; shuffling;
   avoiding by artifice.
   [1913 Webster]

         Thus he, though conscious of the ethereal guest,
         Answered evasive of the sly request.     --Pope.
   [1913 Webster]

         Stammered out a few evasive phrases.     --Macaulay.
   -- E*va"sive*ly, adv. -- E*va"sive*ness, n.
   [1913 Webster]

WordNet (r) 3.0 (2006):

evasively
    adv 1: with evasion; in an evasive manner; "her husband seemed
           to know many of the people who were named, but he replied
           evasively when asked who they were"