The Premier League duo are said to be keeping tabs on the forward, who has enjoyed a successful first season in the top flight with Burnley, as they both look to increase their number of home-grown players.
The forward has also been heavily linked with a move to Liverpool by the Daily Mail, with speculation suggesting they wanted to sign him before the end of the January transfer window and then loan him back to Burnley, although that would have been a breach of Premier League rules.
Tottenham have also been credited with holding an interest in securing his signature by the Telegraph, with Ings moving into the final six months of his contract and unlikely to sign a new deal at Turf Moor. Despite that, the club will still receive compensation, likely to be around £3-5million, as he is under 24 years of age.
Despite the rumours of a move to Liverpool, Burnley remained defiant that they would not be selling their star player during what proved to be a quiet winter window, and will hope he can now carry on helping them in their fight against relegation.