JJ preflop vs short stack

PokerStars No-Limit Hold'em, $0.02 BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

CO ($3.72)
Button ($4.76)
SB ($1.07)
BB ($0.94)
UTG ($7.80)
UTG+1 ($1.77)
MP1 ($2.84)
Hero ($1.97)
MP3 ($2.72)

Preflop: Hero is MP2 with J, J.
1 fold, UTG+1 calls $0.02, 1 fold, Hero raises to $0.1, 4 folds, BB raises to $0.18, UTG+1 folds, Hero ???

Given his short stack, villain is very likely to push on the flop no matter what it is. So should I make my life easy and push preflop?

Push over

push