Gas fireplace pilot light goes out when fire turns off
I have found dirty burners end up with a little back pressure in the tubes and will flash back blowing the pilot out. If this is what you mean and if you can immediately relight the pilot within a couple of seconds of it going out. Cleaning the burner usually fixes things and in extreme cases I have made a shield out of a pop can cut with scissors to block the puff.
Most of the time cleaning has fixed things have worked for me.