After an ambitious summer with the signings of Alex Song and Enner Valencia, Allardyce is seemingly looking to make more audacious moves in the January transfer window.
The likes of Aleksandar Dragovic, Nicolas N'Koulou and Pedro Obiang are regularly linked with bigger clubs than West Ham, but the fact that the Hammers are allegedly tracking them just goes to show the progress being made on and off the pitch by Allardyce's men.
Adding another midfielder will be important for West Ham considering that Song and Cheikhou Kouyate will be heading to the African Cup of Nations in January, and Valencia's Javi Fuego has recently been touted as a possible target after reports emerged that West Ham had sent scouts to watch the Spaniard in action.
However, Fuego has poured cold water on any speculation of a move to Upton Park or anywhere else for that matter, telling Spanish media that he has no plans to leave, and playing for a team the size of Valencia was always a dream of his.
"If any team wants to sign me, it's because of the chances I've been given by Valencia and what I try to give to this team. I'm very comfortable with my role within the team, in the dressing room and happy in the city with my family," said Fuego.
"Right now I do not plan anything. It is true that when I was with Rayo, the best deals economically were to leave Spain. But I always had the vision of playing in a top team of Spain and Valencia is one. I'm very happy and I do not plan to leave for anything," he added.