The Saints have been trying to get their talisman to put pen to paper on a new deal since the start of the year with the 28-year-old having just one season left on his current contract.
And according to talkSPORT, the 28-year-old turned down Saints' new and improved contract as he has "set his sights" on a move to one of the two Manchester clubs in the hope of winning silverware.
When asked if the striker still wants a move, transfer correspondent, Alex Crook, said: "If a big team comes in for him and that hasn't happened. I should stress that there hasn't been a single enquiry.
"He's got his sights set on Manchester United or Man City, I'm not sure either of those clubs are going to start banging on the door."
The Saints still want Ings to pen a long-term deal that would make him the highest-paid player in the club's history, but it looks as though the star forward is trying to push a move away from the south coast.
:soccer: Most goals across last two Premier League campaigns:
:one: Harry Kane - 41 goals (64 apps)
:two: Mo Salah - 41 (71)
:three: Jamie Vardy - 38 (69)
:four: Danny Ings - 34 (67)
:newspaper2:️ Tottenham are back on the market for the Southampton striker pic.twitter.com/KiTIGyD8z5
- WhoScored.com (@WhoScored) July 13, 2021
Ings joined Southampton on loan from in 2018 from Liverpool before making that move permanent in 2019.
He has scored 41 Premier League goals for the club over three seasons with 22 of those coming in the 2019/20 campaign.
Regardless of transfer links to other clubs, though, Saints boss Ralph Hasenhattl has claimed that Ings will be Southampton's player for another year, ruling out a move during this summer's transfer window.
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