The highly-rated central defender, who can also play at right-back, has been linked with a move to Bramall Lane as Chris Wilder looks to bolster his squad for the second half of the season.
Woolfenden has emerged as one of the most promising young defenders in the EFL but speaking to the media ahead of his side’s League One clash with Lincoln City on Saturday, the 21-year-old revealed he wasn’t anticipating a move away from Portman Road before the transfer window closes in a week’s time.
“It's nice to be linked with big clubs but I'm focused on taking Ipswich back to where we should be," he said.
“I don't really get involved in all of that (transfer talk). Everybody knows what I'm like. There's been no bids so there's nothing to worry about.
“If you let your head get turned you might go out and have a shocker of a game so I'm not going to let that kind of thing get to me.
“I wouldn't say my head's been turned at all and I think I'll be here for the rest of the season because it's not in my head to leave.
“Everyone's dream and goal is to play as high as they possibly can and for me I obviously want to play in the Premier League, but that doesn't mean I want to leave right now.
“Ipswich is a massive club so if I could get to the Premier League with Ipswich it would be unbelievable.
“Ipswich Town shouldn't be in League One so to get them promoted, as an Ipswich lad, would be massive.”
The Star reported earlier this month how Town boss Paul Lambert had laughed off reports that Woolfenden would be sold for £3m.
“Three million?! Three million doesn't even buy you a flake! There's absolutely no chance whatsoever that would ever happen,” he said.
"The big lad is playing fantastically well, everybody knows it. Three million? No way.”