While I agree with claude72 in theory, in practice I'm not convinced multiple JPEG compressions of an image is an issue.
I took a low resolution version of one of my photos and did a small test.
Because it's low res image any jpeg artifacts should be quite visible:
However after saving it 10 times (i.e. save as, reopen, save as, reopen, etc) using the "High 9" setting in PShop rather than the "Maximum 12 setting" a total of 10 times, the only way I could see a difference was to put the 10th version on a layer above the original and use the layer "Difference" mode to determine which pixels had changed.
Here's the strongest area of difference from the original (on the left) and the jpegged 10 times (on the right) identified by PShop:
Download and the images and compare for yourself - the differences are completely insignificant. With a higher res image the differences would even be less visible - especially once the image has been halftone screened since any artifacts would be too small for the screening to resolve.
So, while I only use jpeg compression for web images - I doubt that there is an issue with jpeg in print application unless, as claude72 points out the compression type selected is max compression with minimum quality.
best, gordon p