shy, amorous, lovesick glances (usually preceded by make or cast): making sheep's eyes at the new girl in class.
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Origin of sheep's eyes
First recorded in 1520–30
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
British Dictionary definitions for sheep's eyes
old-fashioned amorous or inviting glances
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012