$109 Bubble: Push or Fold

[MSUcougar]

NL Texas Hold'em $100 Buy-in + $9 Entry Fee Trny:15691870 Level:6 Blinds(100/200) - Tuesday, September 13, 01:52:06 EDT 2005
Table Table 12938 (Real Money)
Seat 9 is the button
Total number of players : 4
Seat 5: VILLAIN ( $525 )
Seat 6: ( $4385 )
Seat 9: ( $3435 )
Seat 10: HERO ( $1655 )
Trny:15691870 Level:6
Blinds(100/200)
** Dealing down cards **
Dealt to HERO [ 6c Js ]
( $4385 ) folds.
( $3435 ) folds.
HERO ????

ok so I'm in the SB with 1555 after posting. BB has 325 after posting. I don't particularly want to double BB up.

BB has been (too) tight on the bubble, but I'm sure he knows he needs to call with basically anything if I push.

If I fold I have 1555 to his 625. If I push and lose I have 1130 to his 1050.

Push or fold? Why?