No it won't; the ice sensor is located within the inlet before the hot bleed air, so the sensor will never get de-iced. The warning message therefore only tells you inlet icing conditions exist, not that the engine is actually iced up.
It's worth mentioning that the icing model is, I believe, totally inconsequential, but it's also not modelled correctly in the first place: e.g. in reality it's no possible to encounter icing in clear air, but you can in DCS.