How do people become the sheep that Jesus speaks of in John 10? In my daily Bible study, I've been working through the book of John, and have come to the point where Jesus makes several references to the sheep of His sheepfold. Today's passage, below, which marks 'citizenship' in Jesus' sheepfold as a prerequisite for belief in Him, made me wonder:
"Does the Bible describe the means by which we may become sheep at any point?"
Coming from a Calvinist standpoint, my assumption (lacking evidence to the contrary) is that this 'citizenship' in Jesus' sheepfold is a natural outworking of election/predestination. However, my knowledge is limited, and I'd appreciate other perspectives.


  22 At that time the Feast of Dedication took place at Jerusalem. It was winter, 23 and Jesus was walking in the temple, in the colonnade of Solomon. 24 So the Jews gathered around him and said to him, “How long will you keep us in suspense? If you are the Christ, tell us plainly.” 25 Jesus answered them, “I told you, and you do not believe. The works that I do in my Father's name bear witness about me, 26 but you do not believe because you are not among my sheep.


Assuming I haven't missed the answer as I read through the book, and the other Gospel accounts, I'd be especially interested in answers from denominations or believers who hold an Arminian view of salvation.

As you answer, please be distinct in differentiating means from markers, i.e. if you believe that, "My sheep hear my voice," is a mark of those who are His sheep, please indicate this (either implicitly or explicitly), and the same for if you believe that people become sheep by hearing Jesus' voice.

Thank you for taking the time to answer and/or comment.

ADDED FOR CLARIFICATION:
Thanks for the comments, and the answers, everybody. To address the commenters, the question is indeed regarding one of the parts of the 'order of salvation'. To be saved, we must believe in the sense that Jesus speaks of here (among other things). From my understanding of this passage and this concept, we will not believe if we are not of Jesus' sheepfold, so therefore, being in His sheepfold is necessary for this 'stage' of salvation, so to speak.
I would assert that this is because we are elected, and so we don't choose to be in Jesus' sheepfold, and cannot do anything to get into His sheepfold. However, a theological view that opposes the doctrine of election would, I assume, require some means of getting into His sheepfold.
What I want to know is whether there is any means described in the Bible by which one may do such a thing?

I've also added emphasis to the parts of the original question that concern this issue to give a little contextual clarification to what I was trying to say. Apologies for the confusion.
In these "What would an Arminian say about..." questions, it's important to first denote what kind of Arminian you're talking about. There are 5 points of Arminianism:


Human Free Will - This states that though man is fallen, he is not incapacitated by the sinful nature and can freely choose God.  His will is not restricted and enslaved by his sinful nature.
Conditional Election--God chose people for salvation based on his foreknowledge where God looks into the future to see who would respond to the gospel message.
Universal Atonement--The position that Jesus bore the sin of everyone who ever lived.
Resistable Grace--The teaching that the grace of God can be resisted and finally beaten so as to reject salvation in Christ.
Fall from Grace--The Teaching that a person can fall from grace and lose his salvation.


Not everyone that calls themselves an Arminian agrees with all 5 points--that's why we hear people call themselves "3-point" Arminians, "2-point" Calvinists, and so on.

Within the context of the passage in John 10, the 5-point Arminian perspective would say that hearing and following Jesus are what makes someone a sheep, and that the sheep can essentially "leave" the flock at any time by ceasing to hear and follow.


  John 10:25-28 ESV Jesus answered them, “I told you, and you do not believe. The works that I do in my Father's name bear witness about me, but you do not believe because you are not among my sheep. My sheep hear my voice, and I know them, and they follow me. I give them eternal life, and they will never perish, and no one will snatch them out of my hand.


The Arminian would furthermore cite the subsequent verses as evidence to their claim: Jesus is adjuring the same Jews to believe in the works, that you may know, and essentially become sheep.


  John 10:37,38 ESV If I am not doing the works of my Father, then do not believe me; but if I do them, even though you do not believe me, believe the works, that you may know and understand that the Father is in me and I am in the Father.”