What should we do in this situation?

So my boyfriend working with an agency and he really liked the place he is working. We are in uk spousal visa process and he needs permanent job. We are discussing about if he offers to the work place that he is happy to be a permanent worker in their company instead of work through agency. It would benefit both parties as well. He's doing training shifts now. Should he make a move or wait? How can he approach to them in best way?

What should we do in this situation?
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