Verb (used with object) : The mayor desires your presence at the next meeting.    From Dictionary.com. 

Noun : a desire for fame.    From Dictionary.com. 

She would be a star fixed in his sky, object of his undesiring worship.    From Wordnik.com.  [Treasure and Trouble Therewith A Tale of California] Reference

I trod air; no doubt, no fear, no hope even, disturbed me; I clasped with my soul the fulness of contentment, satisfied, undesiring, beatified.    From Wordnik.com.  [The Last Man] Reference

That undesiring, dedicated traditionalist graduate psychology programs who sextet pitchy to asian say they are sleazy of sleeved him in his basutoland of noria.    From Wordnik.com.  [Rational Review] Reference

The convalescent is receptive and undesiring, or but very faintly desiring: the new blood coming into the frame like first dawn of light has not stirred the old passions; it is infant nature, with a tinge of superadded knowledge that is not cloud across it and lends it only a tender wistfulness.    From Wordnik.com.  [The Tragic Comedians — Complete] Reference

Timeless, and undesiring.    From Wordnik.com.  [The detail of the pattern is movement] Reference