WordNet (r) 3.0 (2006):

draw near
    v 1: move towards; "We were approaching our destination"; "They
         are drawing near"; "The enemy army came nearer and nearer"
         [syn: approach, near, come on, go up, draw near,
         draw close, come near]

Moby Thesaurus II by Grady Ward, 1.0:

62 Moby Thesaurus words for "draw near":
   accost, advance, anticipate, approach, appropinquate, approximate,
   await, be destined, be fated, be imminent, be in store, be to be,
   be to come, bear down on, bear down upon, bear up, brew, close,
   close in, close with, come, come closer, come forward, come near,
   come on, come up, confront, converge, draw nigh, draw on,
   encounter, expect, face, foresee, foretell, forthcome, gain upon,
   gather, hang over, hope, hover, impend, lie ahead, lie over,
   look for, look forward to, loom, lower, menace, narrow the gap,
   near, nigh, overhang, plan, plot, predict, project, prophesy,
   proximate, sidle up to, step up, threaten