It is not apparent if your new work will have you on the CAD station for a lot of time, or if you will be working with "CAD Jockies" who know the program well. Of course, if the company you are working for is using SW, then by all means, any training you get on the program will be useful even if you aren't personally using it much.
There seems to be regional concentrations of CAD programs. For example, locally ProEngineer is the most advertised Parametric CAD skill in the want ads. While I would much prefer to work using Solidworks, I recently took a class on Pro Engineer just to improve my employment opportunities.
If you will be doing all your own CAD design work, It is possible that a tool you know very well (AutoCAD) is more useful to you than one you know less about.
For example, I'm sure you've come across Acad drawings with lines that didn't meet at the corners (they didn't use OSNAP) or overridden dimensions which were inaccurate because the object was later stretched, and the dimension didn't update. An Acad novice will create problems because they didn't know the program well enough. The same issue is even more critical in a program like SolidWorks with all its internal relations and other complexities.