Dear Jay, 

The best judge of this is going to be one of the Benedictine priests at the monastery you are interested in, but I will give you some pointers. 

More than anything you are going to need a spiritual life that is fairly stable. Stable in the sense that you are free from habitual serious sin, and stable in the sense that it is not at the mercy of your changing feelings. In other words, that there is a certain amount of prayer in your life: that you practice the sacraments (Mass and Communion, Reconciliation), pray to Mary, and avoid things that will lead you to sin. 

On the other end of the spectrum you should be free of scrupulosity, and strange devotions. 

If on top of this you have a sense of God's love, and a desire to do his will knowing that it won't always be easy, you have the most important ingredients. 

God bless.