(The mind should be attached upon Me, Kṛṣṇa." This is the beginning. Some way or other we have to . . . our mind is attached to something always) 
Mind cannot be detached. We have got so many desires. So mind's business—to become attached. Therefore, I accept something, I reject something. This is mind's business. So you cannot become zero; you cannot become desireless. That is not possible. Our process . . . just like others, they say: "You become desireless." That is a foolish proposal.
Who can become desireless? It is not possible. If I am desireless, then I am a dead man. A dead man has no desire. So that is not possible. We have to purify the desires. That is required. Purify the desires. Sarvopādhi-vinirmuktaṁ tat-paratvena nirmalam (CC Madhya 19.170). This is called purification. Nirmalam. Tat-paratvena.
Tat-paratvena means when God conscious, Kṛṣṇa conscious, then desires become purified. So we have to come to the point of not desirelessness, but to the point of purified desires. That is wanted. Therefore here it is said, mayy āsakta-manāḥ: "You can not make your mind desireless, but you fix up your mind upon Me." That is required."
(His Divine Grace A.C.Bhaktivedanta Swami Srila Prabhupada Lecture, April 27, 1974, Hyderabad)
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