The Germany international admitted that he is interested in making the switch to the Rhein Neckar Arena, but stressed that nothing had been agreed as yet
The German, whose contract with Bremen runs out at the end of the season, has already revealed that he will not be signing an extension and is keen to join a side that can offer Champions League football.
But the 30-year-old seems to have backtracked from that stance and has hinted that he is not averse to making the switch to the Rhein Neckar Arena.
"I know that [Hoffenheim coach] Markus Babbel is interested, but nothing has been signed yet," he stated to Sky Sports News.
"There is still plenty of time and I will listen to all offers."
Wiese joined Bremen from Kaiserslautern in 2005 and has gone on to make 187 league appearances for the club.
Thomas Schaaf's side are eighth in the Bundesliga standings, 14 points behind Borussia Monchengladbach in the final Champions League qualification spot.