This main thing you do to stop oil getting inside your brake drum is to eliminate unwanted play in your transfer output shaft because that play will cause ANY seal to leak (no matter whether it is new, old, single-lip, double-lip, or with or without speedi-sleeve).
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That sorted, you replace the seal (and do whatever else is necessary to ensure that new seal will hold back the oil).
But even when you have your output shaft running true with an effective seal in place (thus keeping the insides of your brake drum nice and oil-free) you'll still get oil travelling along the splines (thus bypassing the seal). While the amount of oil you lose in this way is minor (and won't enter your brake drum), unless you stop it (by sealing the area where you see I'm applying the flange sealant in my photo in post #12) then .. Yes... It will drip on your garage floor and be flung around under your vehicle while you're on the move (especially when/after climbing steep hills off-road or having parked on a steep gradient facing uphill).