Place eggplants onto the baking sheet and prick in several places using a fork. Roast eggplants until very soft; 25 to 30 minutes. Cool 10 to 15 minutes until easily handled.
Meanwhile, combine tahini, lemon juice, garlic, cumin and the salt in a medium bowl. Set aside so the flavours meld.
Remove and discard skin from eggplant. Using a fork, mash the eggplant to a paste.
Add tahini paste. Mash eggplant into tahini mixture with a fork until somewhat smooth with some texture remaining. Cool to room temperature then stir in parsley and drizzle the top with olive oil. Store in an airtight container and refrigerate up to 5 days.