22$ 66 Bubble against bigstack

[sloove]

Party Poker No-Limit Hold'em Tourney, Big Blind is t600 (4 handed) Hand History converter Courtesy of PokerZion.com

saw flop|<font color="#C00000">saw showdown</font>

UTG (t3560)
<font color="#C00000">Button (t8540)</font>
SB (t2420)
<font color="#C00000">Hero (t5480)</font>

Preflop: Hero is BB with 6[img]/images/graemlins/spade.gif[/img], 6[img]/images/graemlins/club.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Button raises to t1200</font>, <font color="#666666">1 fold</font>, Hero raises all-in [t4880] t600, Button calls t4280.

Is SB too short to make this play against a very aggressive Bigstack? I still have FE and probably the best hand.