WordNet (r) 3.0 (2006):

minimally
    adv 1: to a minimal degree; "the cells minimally responsive to
           lines in this orientation will not fire" [ant:
           maximally]

Moby Thesaurus II by Grady Ward, 1.0:

35 Moby Thesaurus words for "minimally":
   a bit, a little, adequately, amply, barely, by a hair, by an ace,
   competently, enough, ever so little, exiguously, faintly, feebly,
   hardly, imperfectly, inappreciably, inconsequentially,
   insignificantly, just a bit, lightly, little, meagerly, minutely,
   negligibly, not hardly, only just, satisfactorily, scantily,
   scarcely, slightly, substantially, sufficiently, tant soit peu,
   triflingly, weakly