Manchester United failed with a bid for the Basque midfield star last summer, and reports have claimed they are preparing a fresh approach for the 24-year-old.
Spanish media claim United scout Robbie Cooke was present at Bilbao's win over Almeria earlier this month, with Herrera believed to be the main point of interest.
Currently Herrera has a buy-out clause of €36million (£29.8million) although this is due to increase slightly in the summer to €40million (£33million).
Bilbao, though, do not expect any movement this month and a source close to the club told Sky Sports: "We know people are looking but the situation has not changed.
"Ander has told us that he does not want to leave the club in this moment."
Herrara himself was quoted by Basque paper Diario Vasco as saying: "I am happy in Bilbao, and I want to help the club improve this season."
First and foremost, chrissb7 - how does Moyes think that every player is available to Man Utd? You think top clubs sit on their hands and wait for players to approach them? You think City, Chelsea and Arsenal got Ozil, Aguero and Hazard by happy accident? There is nothing to suggest Moyes believes he's entitled to anything so pull your head OUT of your @rse and screw it back on your shoulders. Moyes is merely pursuing prefered transfer targets. Secondly, leixlipgooner, you're more than welcome to keep posting comments on Man Utd articles, but be aware of how it looks. When people say you come across as obsessed, there's method in their madness. Have a quick glance at your last 20 or so posts, and the answer presents itself.- HarryBoulton