The Spaniard wants to get much of his summer transfer business done before the tournament starts in Brazil on June 14 but the situation with the Belgium international is likely to take longer than that to resolve.
Lukaku has scored 14 Premier League goals this season and the Toffees are likely to face competition from other clubs for his signature if Chelsea decide to sell.
A good World Cup could push up his value higher than the reported ?20million price tag but Martinez would not wish poor form on the 20-year-old in order to keep his fee down.
"I don't think that's my worry
The worry would be that if the deal was a cheap one, it would be because he has had a torrid time and hasn't fulfilled his potential," he told the Liverpool Echo.
"We are too close to Romelu to hope he has a poor tournament
We hope he has a really good World Cup - and then decides to come to us.
"We'll see what's the best thing for everyone but everything will be in stages: how Chelsea are doing in their own squad and how that frees some players.
"It's going to take a bit of time and I don't think Romelu's situation is going to be resolved before the World Cup, in truth
I think it will be after the World Cup."
Source : PA
Source: PA