Call this huge flop bet?

[rannerboy]

Live shorthanded NL tournament, 6 players per table. Middle stages, around 35 players left and only 6 or 7 get paid.

Blinds 200/400, my stack ~7500 which is about average.

I get dealt A [img]/images/graemlins/club.gif[/img]A [img]/images/graemlins/diamond.gif[/img] in LP. One limper to me and I raise to 1200. Button and SB folds, BB calls and limper folds.

BB has played rather loose, calling a lot pre-flop hoping to hit big hands. He has also played his really good hands like AK and AA _very_ strongly pre-flop. He doesn't seem to be the thinking kind, mostly just plays his own cards and not his opponents. His stack is slightly smaller than mine, around 7000.

Two players to the flop, pot is 3000.
Flop comes J [img]/images/graemlins/club.gif[/img]7 [img]/images/graemlins/club.gif[/img]4 [img]/images/graemlins/heart.gif[/img].

BB almost immediately pushes his remaining ~5800 in.

Is this a super-easy call each and every time? If I lose this one I will only have about 1 BB left...