I assume that you mean it is switching Rossini on from “sleep” not off. If so it may be because the Jay’s CD Transport is generating a WOL signal. See this thread:
This should not happen and implies that Jay’s have used codes that are similar to those of dCS. That is an issue with Jay’s not dCS ( the latter having been around for many more decades).
In passing I will remark that ideally a CD transport requires a wordclock input for optimum use with a dCS DAC. Reading their website the Jay’s does not have this or has a 10mHz master clock, depending on model. This does not have the same function and cannot synchronise the two. Maybe it isn’t the best transport for you?