And that has been reflected in the performance of the team too with the high-flying Hammers enjoying their best Premier League season in recent memory.
The club is sitting in sixth place, just five points off fourth-placed Manchester City with six games left.
That would mean Noble's side then entertain Watford at Upton Park next Wednesday with a chance to gatecrash the Champions League places with just four games remaining.
'Plenty of points to play for'
And the homegrown Hammer told the club's official website that is still the focus.
"We have the potential champions in Leicester," Noble told whufc.com.
"The team spirit is great and we just need to keep on going.
“I think Leicester will go on to win the league if they continue as they have been and so this week will be a tough one for us.
"We are still going to push for the Champions League.
"There are a lot of points still to play for.”
Four wins from six required
The Hammers are unbeaten in their last seven Premier League games but have drawn four of them.
Noble and his teammates know they must be looking to win at least four of their remaining six games if they are to have a realistic hope of Champions League football next season.
But even if the East Londoners fall short they can go into the summer break with their heads held high after a fantastic season where supporters have witnessed excellent football more akin to their expectations than under previous manager Sam Allardyce.