Instead he said Everton and Barcelona will decide his client's future, with Ernesto Valverde's side having a buyback clause in his contract.
Deulofeu enjoyed a successful spell in Serie A last season, contributing four goals and three assists in 16 starts, per WhoScored.com. His dribbling ability was particularly impressive:
However, according to the Liverpool Echo's David Prentice, Barcelona are ready to trigger their buyback clause and will re-sign Deulofeu for £10.5 million.
Deulofeu is currently captaining Spain at the 2017 UEFA European Under-21 Championship, and he was on target in the 5-0 win over Macedonia on Saturday.
The winger holds the record for the most goals scored for the under-21 side and is also the team's most-capped player:
However, it appears Deulofeu will head back to Barcelona after the tournament concludes. The 23-year-old began his career with the Catalan side, rising through the ranks before joining Everton permanently in 2015.
The deal appears low-risk for Ernesto Valverde's side, who can bring in a player who knows the club well, for a relatively low fee.
However, as previously confirmed by former Everton manager Roberto Martinez, Barca will have to wait a season to sell him on again if the move does not work out.