Former Barcelona and Inter star Eto'o scored twice in Sunday's 3-1 win over strugglers Burnley, including an impressive long-range strike late on to make sure of Everton's victory.
Club-record signing Lukaku was also on target at Turf Moor, and the 21-year-old says he is learning so much from working with three-time UEFA Champions League winner Eto'o.
"I wasn't surprised to see Samuel score one like [his second]. When he took the touch I was thinking 'goal'," Lukaku told Everton's official website.
"He has scored so many throughout his career and it's a pleasure to be working with him.
"He wants to help me become one of the best.
"I feel very lucky to be able to work with someone I grew up watching. I have been blessed to work with some great strikers and now I am working with another one.
"Hopefully I can become one of the best."
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