No. Advil, when taken at the recommended dose, does not contain any ingredients that are likely to make you sleepy.
The active ingredient in Advil is ibuprofen, an NSAID (non-steroidal anti-inflammatory drug) that is a pain reliever and fever reducer. Ibuprofen is the active ingredient in a range of over-the-counter (OTC) medicines. Ibuprofen is classed as non-steroidal anti-inflammatory drug (NSAID).
Drowsiness is not an expected effect when doses of product are taken as directed on the label.