Despite being included in a number of first-team squads in the early stages of the season, Kaikai is behind the likes of Yannick Bolasie and Wilfried Zaha in the pecking order at Selhurst Park, and Warnock is eager to see the 19-year-old gain more experience.
"We took Sullay with us last week to West Brom give him more first-team experience, he's up and coming, for sure," the Palace boss told reporters. "We still haven't had any loan enquiries for him.
"Last week [the Under-21s] had a game and he played poorly when there were around four people watching him, but hopefully we can get him somewhere to play."
Kaikai spent time with Crawley Town in the second half of last season.