The Hammers are looking to strengthen their options in midfield after agreeing to sell captain Declan Rice to Arsenal for £105m.
Rice is believed to be on the verge of completing his big-money move to the Emirates Stadium, although West Ham have allegedly been left frustrated by the delays with paperwork being drawn up by Arsenal's lawyers.
David Moyes has stated that his Hammer's side cannot reinvest in new summer recruits until Rice's transfer to the Gunners is finalised.
Speaking to reporters, as quoted by Sky Sports News, ahead of their pre-season tour in Australia, Moyes said: «I've just been listening to Sky and taking the news from Sky – you seem to know more about it than me and getting the news quicker than I'm getting!
»Until it's done, we can't plan anything really. We will wait to see what happens. Everyone knows the situation, we are waiting for something to happen.
«I don't think we can replace Declan exactly like for like. But we will add to the squad as times go on. We won't give you any names or what we're going to do.»
Nevertheless, The Athletic reports that West Ham have touched base with Dutch giants Ajax to discuss a proposed move for Mexico international Alvarez.
The report adds that the Hammers are yet to table an official offer, but they are soon expected to submit their first bid for the 25-year-old, who is valued between £35m and £40m.
Alvarez was the subject of a bid in the region of €50m (£42.8m) from Chelsea late on in last summer's transfer window, but the deal ultimately failed to materialise as Ajax felt there was little time left to find a replacement.
Alvarez, who has also
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