From Longman Dictionary of Contemporary Englishhave your heart/sights set on somethinghave your heart/sights set on somethingDETERMINEDWANTto want to do something very much, or to be aiming to do something She’s got her heart set on going to France this summer. Don has his sights set on a career in law. → set
Examples from the Corpus
have your heart/sights set on something• If you have your hearts set on a joint endowment, you have two alternatives to cashing in the present one.• But do the public have their sights set on an Urbanizer?• Movie sniper Jude Law and Rachel Weisz are covered in mud but still have their sights set on desire.• Many of the Keishinkai parents have their hearts set on Keio.• Teng is thought to have her sights set on the Board of Supervisors' presidency. 