Jota's future at Griffin Park is up in the air, with the Spaniard under contract for the next 12 months.
He has yet to agree a new deal at the Championship club and West Ham are hoping to pounce before the end of the summer transfer window.
The 26-year-old has been scouted by both Hammers boss Slaven Bilic and Newcastle coach Rafa Benitez, with Bilic looking for more firepower this season.
Manuel Lanzini has been linked with the exit door at the London Stadium but Bilic is hoping to keep the playmaker and add Jota to his squad, which could allow Robert Snodgrass to leave.
The former Hull City man has been linked with Aston Villa after a slow start to life in the capital.