I say dont do High intensity. You are asking for LBM to be lost.
I enjoy a walk prebreakfast at all tims bulking cutting etc. Down a cup of Joe, throw on the xvest and go for a nice walk. keeps unwanted fat a bay.
If your are very worried aboput it and allready fairly thin and on a cutting phase a half scoop of Grow! etc. could be enough to Halt that catabolism and not hamper the fat burning.
You might do a search there has been a lot about this. Lonnie Lowery in particular has writen a LOT on this and some very recent. Also look at the "Cardio Roundtables"
Hope that helps,