The 39-year-old is set to leave the team for Ferrari ahead of the 2025 season in a last-ditch attempt to win an unprecedented eighth world championship title.
Hamilton sits ahead of team-mate George Russell in the drivers' championship, but has lost out to his fellow countryman in 12 of the 16 qualifying sessions so far.
Hamilton angered by Monza performance
The latest of those defeats occurred at the Italian Grand Prix, where Hamilton could only put his W15 in sixth position, while Russell qualified up in third.
"Furious. Furious. Absolutely furious," Hamilton admitted to Sky Sports.
"Because I could’ve been pole, I think I could have been at least on the front row and I just didn’t do the job in the end.
"Lost a tenth and a half through turns one and two and then I lost another tenth in the last corner so no one to blame but myself and it’s yeah qualifying’s been my weakness for a minute now, and I can’t figure it out, so I’ll keep trying.
"The team deserve better. Maybe they’ll get that with Kimi."