There are no known restrictions on drinking milk while taking Advil (ibuprofen), according to the sources provided. Advil is a brand name for ibuprofen, a nonsteroidal anti-inflammatory drug (NSAID) that is used to reduce fever, pain, and inflammation. The NHS recommends taking ibuprofen with or after food to avoid stomach upset, but there is no mention of any restrictions on drinking milk. However, it is important to note that ibuprofen can pass into breast milk and may harm a nursing baby, according to the March of Dimes. Therefore, nursing mothers should talk to their healthcare provider before taking ibuprofen or any other medication.

Sources:
[1] Drug Patent Watch. Advil. https://www.drugpatentwatch.com/p/tradename/ADVIL
[2] NHS. Ibuprofen for adults: how and when to take. https://www.nhs.uk/medicines/ibuprofen-for-adults/how-and-when-to-take-ibuprofen/
[3] March of Dimes. Keeping breast milk safe and healthy. https://www.marchofdimes.org/find-support/topics/parenthood/keeping-breast-milk-safe-and-healthy.aspx