The 2024 season so far has seen Russell outperform Hamilton during qualifying sessions, but that head-to-head record is now at 10-3.
Following a red flag caused by Sergio Perez's huge shunt into the barriers, the track surface had dried, sparking all 20 cars to head back out in a rush to get a lap time in amid better conditions.
Russell has seemingly struggled all weekend to get into his groove, and his first lap after the restart was only enough to put him into 15th position, right on the cusp of elimination.
However, Russell did not have enough fuel in his car to complete multiple laps, leaving him frustrated when talking to Sky Sports F1 following his elimination.
"There's two factors. The first was I didn't do a good enough job at the beginning. The second was we didn't have enough fuel to complete the session," a disappointed Russell said.
"It was a disaster from both aspects. We should have got through comfortably."