I would look at Stefan Schwede's articles. I think the answer is yes, see page 7 of Schwede and Shipley: http://www.math.uni-bonn.de/people/schwede/AlgebrasModules.pdf

Perhpas this more explicitly states what you want: http://arxiv.org/PS_cache/math/pdf/9803/9803002v1.pdf It even references the paper above.

The dates in the bibliography may be a bit confusing. It becomes less confusing when you realize that Symmetric Spectra had been around for a year or so before the published version appeared. Certainly people in the know, such as hovey, schwede, and shipley, knew about Symmetric Spectra.

If you tried really hard you could probably find seminar talks about such stuff.

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I would look at Stefan Schwede's articles. I think the answer is yes, see page 7 of Schwede and Shipley: http://www.math.uni-bonn.de/people/schwede/AlgebrasModules.pdf