Defender turned midfielder Jack Lee believes Wednesday's squad should be aiming for a top-six finish this season.
Back-to-back Championship victories has lifted Jos Luhukay's men up to 14th in the standings.
Lee, who joined the Owls' academy as a centre-half in 2015, told The Star: "I definitely think we can push on in the league towards the top half and play-offs. That's what we need to be aiming for with the players we have got in this squad. It is such a great team.
"We have won back-to-back games in the league and I think we need to really kick on now before the international break but I'm sure we can do big things."
The Owls visit winless Reading on Saturday seeking their first win on the road this season.
"It would be massive to get a result, especially away from home," said Sunderland-born Lee. "A win would give us a good boost going into the break."
Lee was one of eight academy players aged 21 or under included in Luhukay's matchday squad for their cup loss at home to Premier League Wolverhampton Wanderers.
He said: "It is brilliant to see the youngsters coming through. We have a lot of academy players playing and I think it will help us for the future a
"The boys in the academy are also going to get a lot of confidence from seeing they can progress to the first team."
The 19-year-old is full of praise for the Owls’ academy staff.
"The coaching in the academy is fantastic,” said Lee. “They really want to push every player on.
“The new manager has come in and his staff are really keen on the academy so it is a great club to be at at the moment.”