There shouldn't be a problem. The .38 case is just a little shorter than the .357 so you will need to adjust your dies, especially your bullet seating die, to make up for the difference. Try it, what do you have to lose.
Just make sure that things like OAL are correct and that the crimp is placed correctly.
Hope this helps, Mikey
When Guns Are Outlawed, I Will Be Another One Of The Quarter Million Violators Who Are Not Prosecuted