Former Hull and Newcastle forward Hatem Ben Arfa will not be able to play for Nice this season under FIFA rules.
Hull are in talks to sign Aaron Lennon on loan from Tottenham for the rest of the season, Sky sources understand.
The 18-year-old full-back, a product of Rovers' academy, will remain at Ewood Park until June 2017, with the option of a further year.
"It is fantastic, it is something I've been working towards for a long time now and it feels great to get it done," Henley told the club's official website
"I really enjoy it here, I always have, I've been here since I was nine or 10 and I've enjoyed every minute of it. It feels great to secure my time here."
Henley made his first-team debut as a second-half substitute away to Wigan
last November, and his full Premier League debut came just a month later in the Boxing Day draw at Liverpool.