According to the Daily Star, Newcastle have joined the list of clubs tracking McNeil, who only made his senior debut at the start of this season.
Despite that, the 19-year-old has made quite an impression in recent months, scoring or assisting eight goals in his last 16 Premier League outings.
And Burnley were quick to react, handing him a new four-year contract at the start of 2019.
But will it be enough to keep him?
Many of a Clarets persuasion are struggling to see him at Newcastle at least...
They couldn't afford him— Gareth Williams (@Gwills18) April 16, 2019
Newcastle isn’t a big enough move..... least at Burnley he’ll be playing every week.... Newcastle are so up and down pic.twitter.com/LxOF1tZZBM— Sam (@samBFC442) 16 April 2019
Feels a bit of a sideways move at minute does Newcastle. Yes they are a bigger club but with the way things are at Newcastle they are in a similar position to us in the league.— Richard Hulme (@RJHulme) 16 April 2019
if we sell him to Newcastle I’m done...— sarah ronnan (@sarahronnan) 16 April 2019
Our board would accept 20m if offered— Dave Harvey (@Harvey_dj) 16 April 2019
We lose him to Newcastle then we're finished.. only bit of quality we've got— Dale Wallbank (@DaleClarets) 16 April 2019
Newcastle? where are they getting £50m from?!— Mikey Watson (@MD11WAT) 16 April 2019
Yeah right...why would he want to go to Newcastle??— Andy Turner (@AndyPTurner5) 16 April 2019
Would be better for his career if he stays and gets games. Also upto the club to pay more competitive wages— Luke Heaton (@LukeHeaton91) 16 April 2019
Remember that we sold Vokes to Stoke and then signed Crouch. Anything is possible at BFC. The fact we are still a Premier League club really deserves more credit. Some of the decisions that are made are truly baffling at times.— NorthernRudeBoy (@NorthernRudeBoy) 16 April 2019
No point going City or Arsenal yet, he won't get a game better to stay with us. If he went to Newcastle I could understand that, massive club and could carry on his progression. Still think he will stay with us though— Andy Murray (@andymurray8472) 16 April 2019
Manchester City, Arsenal and Everton are also said to have watched the Rochdale native - who joined Burnley from Manchester United in 2015.
The Daily Star claims that as well as McNeil, the Newcastle manager, Rafa Benitez, has added the Bournemouth midfielders, Ryan Fraser and David Brooks, to his summer shortlist.
Could McNeil leave Burnley for Newcastle United?