My 1981 edition of the NRA handloading manual has a section in it named "Minimum Loads In Handguns; development and use of low-power .38 Spl. loads". I suppose I would get gigged if I posted the full article here, but anyone who wants a copy can send me a PM.
The author described his load development methods in detail. He used a 2" barreled S&W Chief's Special, 146 grain wadcutter bullets, and Bullseye powder. He found a load of .55 grains of powder reliably expelled all bullets from his gun's barrel, but he increased the charge to .75 grains as a margin of safety. This load gave a muzzle velocity of 195 fps.
The author said not to use this load in 6" guns. For a gun with a barrel of that length, he listed 1.25 grains of Bullseye, which gave a muzzle velocity of 272 fps.
Finally, he advised that these loads may not work properly in other .38 caliber revolvers, but the methods he provided are universally applicable, regardless of caliber.
So, minimal loads are safe.