Sigurdarson was brought to Wolves back in 2012, but his time with the Midlands outfit has not been a success.
The 24-year-old has been sent on a series of loan moves in recent times, after failing to make the grade.
However, Jackett provided the forward with a lifeline in Wolves’ most recent match against Brighton & Hove Albion.
The Wolves boss brought Sigurdarson on in the final few minutes of the contest, and Jackett has now suggested that the former Molde man is determined to earn himself a new deal.
“With six months to go he’s not talking about going anywhere else or leaving, he’s talking about doing it for Wolves and in English football,” Jackett said.
“After the time he’s had here, which has been quite disappointing, it’s great that he wants that and it shows a lot of character.”
Sigurdarson is a popular figure with Wolves’ supporters, and he was given a great ovation when he came on against Brighton.
He also managed to impress with his display, with one piece of skill being particularly memorable, as he helped his side claim an impressive 1-0 victory.
Sigurdarson has now made 61 appearances for Wolves since he made the switch three and a half years ago.