Arsenal's title hopes took a further blow as they fell to a disappointing home defeat to Bournemouth on Saturday afternoon, whilst rivals Manchester City beat Chelsea 3-0 the day after.
City cut the gap at the top to six points, putting real pressure on The Gunners who will now be worried about bottling the title that many believed would be easier to snatch this season.
With City and Arsenal set to clash against each other this weekend, Neville has called out Jesus, who he believes can play a huge role in helping the side reach their full potential.
"The problem they've got is they haven't got anybody of experience in the club of winning a title. Gabriel Jesus maybe, but I don't think he's the type of player that's going to translate that to a dressing room.
"Doesn't seem to be that character. He's a good player, but he doesn't seem to be that person who can really set the tone. Maybe this week he does have to have an influence for Arsenal.
"I know Mikel Arteta is always looking to try and find a way of how to gain an advantage and he's got to try and find something this week. Is it Gabriel Jesus, who just talks about what a title race is like. You know he's been through some big ones with Liverpool, some monstrous battles, and come through them."
Arsenal have three full days to recover before the second leg of their UCL quarter-final with Sporting Lisbon. They have a quick turnaround against City where a loss could mean their lead at the top cut down to just 3 points as fears grow.