The 18-year-old has come off the bench in Derby's last three games since a season-long loan switch at the end of August.
"The training is really good, we have a young group here and the style of play is similar to Liverpool," Ibe, who opened his Rams' account in the 2-2 draw against Cardiff City on Saturday, told the club website.
"It's exciting and I'm just looking forward to playing my part for the team.
"It is important for me to come here and do well and, after coming off the bench a few times, I want to do my best to try and get into the starting lineup."
Derby are ninth in the Championship after eight games of the season.