The Chelsea loanee is close to meeting the objectives set to make his move permanent.
Howe said: "In terms of my thinking, I am preparing for Lewis to be in Newcastle for many years.
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"He has a few things he still needs to work on, as all the players have. I believe in him. My vision for him is for him to be at Newcastle for many years.
"I don't think it has happened quite yet, but hopefully it will happen very soon."
Hall can be signed permanently for 30m.