If you want to maintain your 1uSec PWM output your dead-time (using dead-band hardware) has to be less than 1uSec. The dead-band module will turn off any pulse smaller than the specified dead-time.
If your dead-time is higher than the min PWM pulse then you can disable the dead-band hardware and do this in software. Maintain your 1uSec pulse (duty D) for the upper switch and calculate the PWM compare values for the bottom switch (duty 1-D) in software and account for the desired dead-time in your calculation. This way you avoid the dead-band hardware turning off the PWM.
Shamim