Aguirre also told El Chiringuito TV the need for Real to snap up Antoine Griezmann from cross-city rivals Atletico Madrid.
The French forward is much sought after and looks likely to leave in the summer.
However, Barcelona appear to be the frontrunners for his signature - but the striker has a £100m release clause that comes into play at the end of the season.
Luka Modric scores stunning goal for Real Madrid
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Antoine Griezmann is also wanted by Real.
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The final player Agurrie thinks Real will chase is Athletic Bilbao’s Kepa Arrizabalaga.
The Spaniard was linked with a move to the capital in January to replace Keylor Navas.
But a deal failed to materialise so Real are expected to complete the formalities at the end of this campaign for £20m.