Steve Walsh confident Romelu Lukaku will sign new contract
Lukaku is Everton's leading scorer this season, with 18 goals to his name across all competitions already.
The Belgium international cost Everton £28million from Chelsea in 2014 and has two years to run on the initial five-year contract he signed.
But the Toffees are desperate to tie their star man down to a new contract and Walsh believes it's a "logical step" for the 23-year-old.
"I think once you've got success at a football club you get a feeling for it," Walsh said when asked about Lukaku's future.
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Romelu Lukaku is Everton's leading goalscorer this season
"And there's a real feeling that Everton's a real football club that he's part and parcel of. I think he'd like to continue with that.
"Signing a new contract is that logical next step and we're really hopeful that's going to happen."
Everton signed Yannick Bolasie, Ashley Williams, Idrissa Gueye and Maarten Stekelenburg during the summer and added Morgan Schneiderlin and Ademola Lookman to their ranks during January.
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And Walsh reckons being able to lure the likes of Schneiderlin away from Manchester United shows how Everton are growing as a club.
"I think when players look at the squad that we've got and put together, they want to be part of it," Walsh added.
"They can see that we have grown as a club and we're certainly significantly better than the team that started from the summer.
"So I think the fact we've bought players like Morgan Schneiderlin sends a message that we want to get better and will get better."