Source : Webster's Revised Unabridged Dictionary (1913)

Conditionally \Con*di"tion*al*ly\, adv.
   In a conditional manner; subject to a condition or
   conditions; not absolutely or positively. --Shak.

Source : WordNet®

conditionally
     adv : subject to a condition; "he accepted the offer
           conditionally" [syn: {not absolutely}] [ant: {unconditionally}]