The Poland international joined Dortmund from Wisla Krakow in 2007 and has a further three seasons left on his current deal with the UEFA Champions League finalists.
The 27-year-old has been linked with the likes of Manchester City and Juventus, and has reportedly been recommended to the Italian champions by Zbigniew Boniek.
Blaszczykowski is reported to have a €15million (£12.7m) buy-out clause in his contract, with his suitors rumoured to be willing to meet that fee.
However, he is expected to agree a new deal to stay with Dortmund until 2018 and sees no reason to leave Jurgen Klopp's side.
"I have been here for six years now and I'm part of the city and the club," Blaszczykowski told Przeglad Sportowy.
"I have grown up as well. I have no fears or worries.
"The question is where would I feel as good as I do in Dortmund?"