Place the tofu, dairy-free milk, mustard, turmeric, salt and pepper into the bowl of a food pressor. Blend on a slow speed or pulse until everything is well combined and the sauce is thick.
With the motor running, carefully pour in the oil and the sauce will become glossy and rich.
To warm the sauce through, pour into a small pan over a low heat and warm but do not let it simmer or boil. Alternatively, pour into a bowl and place over a pan of simmering water for a few minutes.
Serve warm over steamed asparagus or roasted vegetables. Also tastes delicious cold.