He and his family lived in Noumea, in the overseas French territory of New Caledonia from 2004 to 2007, where his father was stationed as a soldier.

Jalibert joined CA Bordeaux Bègles on the family’s return to France.

Jalibert was called up to the French national team for the first time ahead of France's opening 2018 Six Nations Championship match against Ireland, aged only 19, after 15 league appearances for Bordeaux Bègles.

[4] In February 2025, Jalibert was named in the starting lineup to face England in the second round of the 2025 Six Nations replacing Romain Ntamack after he was banned following a dangerous tackle in the previous game.

This was the first time he had been involved in the starting lineup after refusing to play back up for Thomas Ramos during the 2024 Autumn Nations Series.