euhm lying IS allowed in Islam.
Mishkat ul-Masabih, translated by Karim, vol. i, p. 467: "Asma'a-bn-Yezid reported that the Messenger of Allah said: Falsehood is not lawful except in three (things): falsehood of a man to his wife to please her, falsehood in war, and falsehood in restoring peace among men. - Ahmad and Tirmidhi"
unless Muhammed wasn't a muslim