The Ghanian has been offered to various Premier League clubs in a bid to return to top-flight football next season.
Newcastle's lack of striking power is well-known, and Ayew has emerged as a potential solution to this problem.
However, according to the 'Newcastle Chronicle', Rafa Benitez is keen on adding a proven Premier League forward to his squad for next season, and does not believe that the £13 million-rated striker would fit the bill.
The Spanish manager was interested in signing Venezuelan striker Solomon Rondon from relegated West Brom, but with the player's £16.5 million release clause proving to be more than the club are willing to pay, the Magpies will have to look elsewhere to try and improve their goal-scoring threat.