Victory over Greece tomorrow would see the Elephants progress from Group C and into the second round of the tournament for the first time ever.
Consequently, Lamouchi is hopeful that an opportunity to etch their names into the nation's annals is enough incentive for his African players.
"We mustn't get carried away. We are fully focused on the match; we know that victory would allow us to write our names in Ivorian football history," he told FIFA.com.
"That would be a great achievement and the players are well aware of that, so it would be pointless to try to heap extra pressure on them."
Tomorrow's clash in Fortaleza kicks off at 8pm.