Jackett is keen to keep hold of the Republic of Ireland international striker but readily admits League One may not be the place for him as suitors from higher divisions continue to be linked with his services, while Doyle's wages would also stretch Wolves' third-tier budget.
But the 29-year-old has shown plenty of commitment to Wanderers' cause since being brought back into Jackett's plans, and it currently remains to be seen where he will be plying his trade when the window closes on Monday September 2.
"Kevin is a Wolves player although there is constant speculation in the newspapers," Jackett told the club's official website. "Is he unhappy here? Is he close to a move? That's not necessarily the case.
"It's quite a unique and unusual situation that the club has dropped two levels in two years and these might not be our problems but they are our equations to work out.
"The club has its way and we have got to make sure we keep planning on ourselves and concentrate on our own club and our own team.
"Kevin's commitment since I have been here has been excellent and it was evident (in Saturday's 2-1 victory at Bristol City)."
Asked if Doyle has too much quality for League One, Wanderers' head coach added: "I hope that proves the case over the course of the year and I hope we can keep him as well. But we'll have to see.
"He has shown a lot of commitment and a lot of quality in the short time I have been here."
Meanwhile, Wolves right-back Matt Doherty insists he is claiming Saturday's late winner at Ashton Gate despite it being unclear as to whether Robins defender Aden Flint got the final touch on his mis-hit volley.
"All the lads are trying to say it was an own goal but there is no way they can take it off me," Doherty said.