Lingard had been frozen out at United, but scored nine goals for the Hammers to help them secure a European qualification place.
He could be the perfect man to provide competition to Delle Alli as the central attacking midfielder, with Solskjaer reportedly reluctant to return him to the United fold.
While he has never lived up to his reported £58million price tag, Anthony Martial has proven that he can be a goalscoring threat in the Premier League.
The Frenchman was United’s top scorer just two seasons ago, but has plummeted down the pecking order since.
An attacker of his talents would be welcomed at Spurs, with Harry Kane and Heung-Min Son consistently the only outlets.