The Belgium international striker arrived at Goodison Park on a season-long loan on transfer deadline day and but had to wait for his debut due to being ineligible to face parent club Chelsea.
Already match-fit after featuring for the Blues in the early season, the 20-year-old is in contention at Upton Park.
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Lukaku is not guaranteed a start, however, as the Toffees boss was thrilled with his side's dislay in their surprise 1-0 win over Jose Mourinho's side.
"I was really pleased with the level on Saturday [against Chelsea]," the Spaniard contineud. "Now we have to use all our options in the squad and be as strong as we can.
"We've got three games in a short space of time, so we need everyone ready and available."
Martinez also confirmed that Steven Pienaar, Darron Gibson and Arouna Kone should be available for the trip to London but that defender Antolin Alcaraz is definitely out with a hamstring injury.