The 17-year-old has been drawn comparisons with West Ham striker Andy Carroll for his left foot and 6'5 frame.
The North Yorkshire-born man does not turn 18 until January and the Irons can sign him for just £60,000, according to The Sun.
However, the English publication has claimed that the fee will rise significantly if Simpson progresses into the Hammers' first team eventually.
West Ham fans are struggling to accept the real Carroll at the moment, with the towering former Newcastle striker failing to score in four Premier League games.
And suffice to say that supporters of the East London club aren't hugely impressed by the prospect of signing Carroll 2.0.
The new Andy Carroll lmao. So he's going to be trash too?— David (@DBecker11) October 12, 2017
Is he injured 95% of the time as well?— Taylor Mackenzie (@TaylorMack1994) October 12, 2017
What an honour...— Lister (@Matt_Lister21) October 12, 2017
Tall, left footed and coming back from injury, yep the next Andy Carroll.— Nicko (@nicko_COYI) October 12, 2017
So he's overpriced and constantly injured?— Matt Sullivan (@MattSully90) October 12, 2017
If he is 17 then he will go out on long an until hes 25 so whats the point— Dave Sanders (@dave_sanders5) October 12, 2017
Poor lad— Tom (@tom_gant) October 12, 2017
No one what's the old Andy Carroll let alone the new one— Connor Horrocks (@connor32horrock) October 12, 2017
Slaven Bilic's side clash with Burnley this weekend knowing that victory would take them further away from the relegation zone.
West Ham, who sit two points clear of the drop zone with seven points from seven games, haven't had a great start to the season, but they beat Swansea 1-0 last time around and a win at the in-form Clarets could boost the collective morale.