Italian transfer expert Fabrizio Romano reports Arsenal are fielding multiple approaches for the England U21 striker.
With Nketiah available on a free transfer in 2022, Arsenal are said to have offered him a new contract, though the player is yet to agree on terms.
Italian journalist Fabrizio Romano tweeted: "Eddie Nketiah received a new contract proposal from Arsenal days ago. There's still nothing agreed as of today.
"Bayer Leverkusen are pushing since months to sign him on a permanent deal."