Perez was a rare bright spot in a woeful season for Newcastle, scoring seven goals in his debut campaign in the Premier League.
He signed just a year ago from Tenerife, and has a contract at the club until 2019.
The report states Newcastle do not want to sell, but a bid of £15 million would tempt owner Mike Ashley.
Perez, 21, is highly rated, and won the Spanish breakthrough player of the year award in 2014, as reported SkySports.
He will have caught Tottenham's eye early in the season, scoring agains them in a 2-1 win, and also netted against Arsenal in a 4-1 loss.
His other goals came against Liverpool, Everton and Swansea, and two in two games against West Brom.
Newcastle yesterday appointed Steve McClaren as manager, and it would be surprising if the former England boss was in favour of selling such a highly rated prospect.
The club endured a terrible season in 2014/15, and Perez gives the fan base reason to be positive. Selling him would be a backwards step they can ill-afford to take, so the Toon should take the interest of their Premier League competitors as a compliment, but discourage it by communicating the message he is not for sale.