Emenike joined the Hammers on loan from Fenerbahce in the January transfer window, and he has recently received international clearance to play in England.
The Nigerian forward has never experienced the Premier League before, but Bilic says that he may throw the 28-year-old in at the deep end.
“Well we’re going to see, he’s training with us today so we have to see how he is,” Bilic said, when asked whether Emenike would make his debut against the Saints. “He could do.”
Emenike has been brought to Upton Park to increase West Ham's attacking threat, with Bilic’s options currently short up front.
The likes of Diafra Sakho and Andy Carroll have been injured in recent weeks, forcing Enner Valencia to play as the side’s main man.
Although Carroll is nearing a return, Emenike offers Bilic a different type of option to the England international, due to his pace and power.
If Emenike does make his debut against Southampton, his task of scoring will be a tough one.
The Saints have kept four consecutive clean-sheets, which has helped them move up to seventh in the Premier League table.