Brighton & Hove Albion boss Hughton led the Magpies to promotion at the first attempt the last time they appeared in the Championship.
The former Liverpool captain came off the bench to score in stoppage-time as Bruce Arena's men beat the New England Revolution 4-2 at the StubHub Center.
Lennon has been out of work since leaving Bolton Wanderers in March and is second favourite for the Bhoys' gig with some bookmakers.
John Sheridan is the new favourite for the Leeds United job.
Bordeaux are due a windfall if the Black Cats secure their safety, a report claims.
The young midfielder shone in Liverpool's 2-0 win over Watford at Anfield.
The trio helped the Scottish Premiership side clinch their fifth consecutive league title.
Everton were beaten comfortably by Leicester City at the weekend.
Newcastle United could be relegated this week if Sunderland beat Everton.
The Manchester City loanee scored twice in the win over the Dons.