Rodwell was once a promising star at Everton and tipped for great things.
But his career has fallen by the wayside due to injuries and lack of form.
But the 28-year-old is getting another chance, if he can show Sheffield United he is still good enough.
Sheffield boss Wilder told reporters about the Rodwell situation: "Jack is in for a few days, but it's not a trial.
"We know about Jack. He's without a club at the moment after a couple of experiences in Italy.
"As you've seen in the past, David McGoldrick came in for a few days as well. Jack is looking at us, and we're looking at Jack.
"He's a very, very talented player who should be playing in the Premier League regularly but, for one reason or another, he isn't.
"He's got a really good attitude and it's basically him looking at us, and us looking at him to see how he is in terms of how healthy he is.
"But he's obviously a talent because of the teams he's played for. He's looking for a home, and it's something that might develop along the way."
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