Noble reckons West Ham can finish as high as seventh place.
The 31-year-old told Sky Sports that he reckons West Ham are in a group of clubs that could finish as low as 13th place, but as high as seventh. Seventh could see a side qualify for the Europa League.
"I think the league is so tight. Apart from really the top six that are going to run away, I think the rest of us are in a battle for between 13th and ninth, or probably a little bit higher - maybe seventh - so we will see," Noble said.
West Ham earned their third Premier League win of the season on Saturday, with a 4-2 win over Burnley at the London Stadium. It moved them into 13th place in the Premier League.
Prior to the win, though, Manuel Pellegrini's side had struggled despite bringing in plenty of players in the summer, spending big on the likes of Issa Diop, Felipe Anderson and Andriy Yarmolenko.
The rivalry between West Ham and Tottenham remains, though Spurs have beaten the Hammers twice this season already - earning a 1-0 win the Premier League and a 3-1 win in the Carabao Cup, both at the London Stadium.
Tottenham fans reacted hilariously to Noble's comments about a top-seven finish for West Ham, describing him as the "gift that keeps on giving".
When will Mark Noble learn? top 7 he said! Ffs.— Jon (@jonhotspur88) November 7, 2018
Mark Noble, the gift that keeps on giving...— phil hill (@philhill1979) November 7, 2018
Just turned on the telly and Mark Noble is talking about West Ham qualifying for Europe. Hahahahahahahahahahaha. pic.twitter.com/SXYzC3z7Xa— Nick. (@NickHarden92) November 7, 2018
Mark Noble the greatest ever midfielder to not be great.— Tackleson (@Tackleson6) November 8, 2018