Need your approval for right motor shield

Hi everyone,
I'm just buying 2 stepper motors nema 17

(http://www.ebay.com/itm/130754449432?ssPageName=STRK:MEWAX:IT&_trksid=p3984.m1438.l2649)

and motor shield to control them -

(http://www.ebay.com/itm/Motor-Drive-Shield-Expansion-Board-L293D-For-Arduino-Duemilanove-Mega-UNO-/290700252856?pt=LH_DefaultDomain_0&hash=item43af15d6b8),

so I need your approval, can this motor shield handle this 2 motors ?

motor shield specifications says: 4 H-Bridges: per bridge provides 0.6A (1.2A peak current) with thermal protection, can run motors on 4.5V to 36V DC.

but motors current is: 0.4 A/phase

so i'm worry it can burn out, so I need to know exactly before I buy this kit.
If it's not suitable motor driver, can you recommend another one to handle these 2 motors ?
Thanks in advance

.6A is greater than .4A. So why would you worry about the motor burning out the controller?