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When sleeping, several reports indicate that the prone position (on the stomach) seems to help babies with reflux. However, most parents are aware of the
“Back to Sleep” campaign which encourages parents to place babies on their
back to prevent SIDS. Therefore, do not place your baby in the prone
position without first consulting your doctor. Before changing the sleeping position of your baby, be sure to consult with your doctor first!
This is from June 2007 – consult your doctor about it!