The Lakers ended a two-game losing streak with a 116-95 win over the Pelicans, who are bottom in the South-West Division.
The power forward told reporters: "We've just got to do this every night, because we're not good enough to take any plays off.
"We've got to have that energy every time we step on the floor. That's what I try to bring whenever I'm there. I don't care if I'm starting."
Hill scored a career-high 21 points and 11 rebounds during the game, which was his first start of the season.