I was thinking of it more less pocket gun or ankle rig would be for a BUG. Most days I carry Para P12 but thats a little much at times.
I think this answers your question. If you're looking for something when the Para is too big/heavy, then get the Sig 238.
Lighter Weight
The Model 60 is a steel framed gun and weighs about 23 ounces unloaded. The Sig weighs about 15 ounces without the mag, so add another couple of ounces with the mag to bring it up to 17 ounces unloaded. The .38 or .357 cartridges will likely weigh more than the .380s but let's leave that out for right now. While six ounces difference in weight doesn't sound like a lot, you'll be able to tell it when wearing light clothing, especially if pocket carrying. Cotton shorts, for example, may start sagging if you pocket carry a gun too heavy. If your other choice was a .38 Spl Airweight, weight wouldn't be much of an issue.
Better Concealment
The Sig is a flatter pistol than the J-frame. In looser pants, this won't make a big difference but in "normal" jeans, a J-frame will print more than the Sig, even with a pocket holster. It's just thicker.
If you didn't already have a carry pistol, I would say go with the J-frame. However, since you do have one, go with the Sig. It's not always about the biggest caliber. The gun's not going to do you any good if you leave it behind because it's too big or heavy.
I am speaking only from my own experience. I do own a Sig 238, a Model 60, and a couple of Airweight J-frames.