The 20-year-old has become a regular first team player over the past few weeks.
While he has been one of the positives this season, fans may be concerned that relegation could lead to his exit.
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On Arblaster staying, Wilder stated: (We need to) build around him. We understand the fabric of the game and the way the game moves, but certainly, for us it's 'career here' and he understands that as well.
He will understand it. He's a smart boy. He'll get his head down and knows he has to play well to stay in the team as well.
He won't take any liberties. He's a humble boy and he's starting his career. Hopefully it's a long and successful one at Sheffield United."