However, they will face delays if Palace are to accept the bid for the England international.
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The Sun says Spurs will offer £60m for Eze, but any sale will depend on Palace bringing in a replacement first.
Further complicating the deal is Palace's Europa Conference League playoff on Thursday night against Fredrikstad.
After Sunday's 0-0 draw at Chelsea, Palace manager Oliver Glasner said: “He was picked because he’s a Crystal Palace player, and he’s a very good
“He trained the whole week, so there was no reason not to pick him.
“He will come to the Crystal Palace training ground today, Tuesday off, we take Wednesday and I expect him to be back playing for us against Fredrikstad.”