The Rangers midfielder is enjoying arguably his best campaign at Rangers.
The broadcaster claimed Preston offered £500,000 for the former Accrington player, who is enjoying arguably his best campaign for Rangers.
North End already appear to have got one over Rangers this winter, after agreeing a deal for Louis Moult - a rumoured Ibrox target - of Motherwell.
And losing their second top scorer to Deepdale would be a definite blow to Graeme Murty's side.
The speculation has drawn a mixed reaction from Preston fans, although some are especially keen for a deal to go ahead, after Rangers robbed them of Joe Garner - a fan favourite in Lancashire - 18 months ago.
Here's how the PNE faithful have reacted on Twitter...
Surprised at this, don’t think we need another player of that type- we have other priorities and any bid of £2m plus is pie in the sky.— Terry Brooks (@TerryBpne) 29 December 2017
Agree, I don’t think Jack Windass is our answer, he is light weight like Barry Nicholson was, but if it’s true sounds like we have some money to spend ?— Keith webster (@keithaw28) 29 December 2017
Love the fact we're set on rustling the whole spfl.— James (@_JamesVickers) 29 December 2017
Unreal if we pull this off for less than a million and see the pitchforks go up at Ibrox— Adam’s Soul Bay Bay (@kilgrave26) 29 December 2017
i'm incredibly here for it, but especially with Rangers. First slagging off Moult, then Neil because they're 'more important' than us, if we can get Windass too after rinsing them in the Garner deal then I'll have a little chuckle. https://t.co/LPa7MgAVYO— O•LI•VER (@sewadyllo) 29 December 2017
Maybe they haven’t paid us up for Garner yet - so are offering us Windass as payment instead. Strange one as we have other more pressing areas to strengthen!— Terry Brooks (@TerryBpne) 29 December 2017
Windass missed Rangers' 2-0 win against Motherwell on Wednesday though suspension, but is free to return for Saturday's Old Firm trip to Celtic.
The 23-year-old, whose father is former Hull City striker Dean Windass, is reported to have cost the Ibrox side £60,000.