The new ownership and the upcoming move to a new stadium at Bramley-Moore Dock have led to changes at Everton. The team is looking to strengthen their lineup, and Soucek's fitness record is a significant factor in their interest. He has started many games this season, second only to a few players like James Tarkowski and Bruno Fernandes.

Soucek is currently under contract with West Ham until 2027. Everton hopes to persuade West Ham to sell him over the summer transfer period.