Gayle, 30, can walk away from St James’s Park at the end of the season on a free transfer with an agreement yet to be reached over a new contract.
The former West Bromwich Albion loanee is bound to attract plenty of admirers. Recently, Gayle was linked with a move to Turkish giants Galatasaray.
Exits for either Gayle or Carroll or both will leave United light in the striking department – and the rumour mill is already throwing up some potential targets.
As per Spanish outlet GOL Digital, the Magpies are reportedly showing interest in Liverpool forward Divock Origi, who has played just 181 minutes of Premier League football this term.
With Origi out-of-favour under Jurgen Klopp, the Belgian is keen to leave Anfield to find regular first-team action, which is said to have caught the attention of Newcastle, Real Sociedad, Aston Villa and Wolves.
It claimed the 25-year-old, who has three years left on his contract at Liverpool, is valued at around £17million
Elsewhere, Steve Bruce’s side are also being credited with interest in Stuttgart’s Sasa Kalajdzic.
The £17million-rated Austrian target man, who has drawn comparisons to Borussia Dortmund star Erling Haaland, has netted 13 goals in 24 appearances this campaign.
Again, the Magpies would be required to win a highly-contested race for the 23-year-old with clubs such as Juventus, RB Leipzig and top-flight counterparts Everton also mentioned in the report.
Here are the latest transfer headlines surrounding Newcastle and their Premier League rivals.

9. Origi eyed by Newcastle
Newcastle, Aston Villa and Wolves are among the Premier League clubs showing interest in Liverpool striker Divock Origi. The Belgian has played just 181 minutes of league football this season and is reportedly valued at £17m. (GOL Digital) Photo: JON SUPER

10. Kalajdzic on Toon radar
The Magpies are also linked with Stuttgart target man Sasa Kalajdzic, whose price tag again lies around the £17m mark. Juventus, RB Leipzig and top-flight counterparts Everton are also keen. (TuttoJuve) Photo: Stuart Franklin