Lukaku made comments suggesting that the Toffees have underperformed for the past two seasons last week.
The Merseyside outfit look destined to finish in a disappointing mid-table position in the Premier League this season, despite having a squad which is littered with talent.
Lukaku, himself, has certainly done his job - and he has netted 25 goals in all competitions.
However, Everton have conceded too regularly to be successful, and Le Tissier believes that Lukaku has become frustrated with the way his side are defending.
“I think he’s saying that as a warning to his teammates,” Lukaku said. “He’s been doing his job well, and it most be frustrating for him to keep banging all these goals in, and then see them go in at the other hand.
“I think it might come from a bit of frustration that they need to shore things up a bit.”
Lukaku has developed a reputation as one of the most feared strikers in the Premier League, and Roberto Martinez’s side will surely have a battle on their hands to keep hold of him over the summer.
The 22-year-old is regarded as one of the most exciting prospects in European football, meaning it could be difficult to ensure that he doesn’t move elsewhere at the end of the campaign.