Everton manager David Moyes will use some of the £12million transfer fee Everton receive from Fulham for Andrew Johnson to increase their offer for Sporting Lisbon midfielder Joao Moutinho.
The Toffees have already had an £11.8million bid rejected for the 21-year-old Portugal international, with Sporting seemingly insisting on a £20million deal, but Moyes is desperate to improve his midfield options.
It is understood a compromise deal of about £16miilion is expected to be enough to secure the player, who impressed for Portugal at Euro 2008 this summer, with Moutinho keen for the deal to happen.
Moutinho said: 'Everton have already made a proposal, but Sporting did not accept. We will now see what happens in the next few days.
'But Sporting already know my will, I have already transmitted it to the people here. What is my will? With the reasons that I have, I want to leave Sporting and I hope an agreement can be found and that a good solution can be found for both parties.'
Andrew Johnson will complete his transfer to Fulham on Tuesday. The striker was in London for a medical on Monday having not been included in the party that flew to the United States for Everton's training camp on Sunday.
Johnson's career at Everton virtually ended last week when he was believed to have been reluctant to play in a friendly at Preston after hearing that a move to Fulham was possible.
Although Everton chief executive Keith Wyness denied at the time that a bid had been received from the Cottagers, Johnson's days at Goodison Park have been numbered ever since an angry exchange with Moyes at Deepdale.
Everton play Chicago Fire tomorrow and Colorado Rapids on Sunday. If Moutinho's move is concluded, he could be unveiled in the home friendly against PSV Eindhoven on August 9.