The Liverpool winger made his debut on Tuesday night.
The Blades eventually fell to a 5-4 penalty defeat - with Woodburn converting a spot-kick - but Wilder is convinced the signs were positive from the Liverpool loanee.
“I think Ben grew into the game. It's his first loan and he played a part in our victory at QPR, and he was good against Hull," the manager said.
“Just like you could see Oli Norwood's experience and quality, you could see glimpses of Ben that he is going to do well for us."
Striker Billy Sharp was also pleased with Woodburn's performance, adding: “He's got a lot of talent. He's come on in two difficult away games [at Boro and QPR] and it was nice to get him a full game against Hull to try and get him up to speed.
“He's a very talented lad and will prove a good signing for us as the season goes on."