Arsenal are "a long way behind" their Premier League rivals and are likely to miss out on a Champions League place again next year, says Gary Lineker.
Despite manager Arsene Wenger being set to sign a new two-year deal, ex-England striker Lineker's views were echoed by former Gunners goalkeeper Bob Wilson.
He believes Arsenal will struggle to attract quality players without the offer of elite European football.
"How are you going to get Antoine Greizmann to sign?" Wilson said.
"Without the Champions League, the only way is if you can compete salary-wise to attract the players," he told BBC Sport.
"Chelsea bought the best player available last season in N'Golo Kante and Arsenal went for him too but came nowhere near the salary that Chelsea pay.
"So the board has to be realistic and say: 'Are we going to compete at this level?'
"They cannot compete with Manchester United, or Chelsea with all the money Roman Abramovich has, or Sheikh Mansour has at Manchester City - these are clubs who can manage to go into huge debt."
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'Arsenal further behind than Wenger thinks'
Wenger and club owner Stan Kroenke met on Monday to determine the Frenchman's future, with the decision relayed to directors at a board meeting on Tuesday.
Arsenal are planning to make an official announcement confirming Wenger's new deal on Wednesday. His contract was set to finish at the end of the season.
The Gunners were fifth in the league this season, the first time they have finished outside the top four since Wenger joined in 1996. They were 18 points behind champions Chelsea, but beat the Blues 2-1 to win the FA Cup at Wembley on Saturday.
Speaking to BBC Radio 5 live, Lineker said: "Arsenal have got a long way to go at the moment. If you ask me now whether Arsenal are going to be in the top four next season, I would say most probably not. They are further behind than Wenger thinks."
The former Tottenham striker said he thought it was "remarkable" it had been left to Wenger to determine his own future.
"The only other example of a manager that decides when and where he goes is Sir Alex Ferguson, but he was still winning league titles. Arsene Wenger was still winning FA Cups and until this season he had always got in the top four, but now that's changed."
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Feast and then famine
Wenger led the Gunners to three Premier League titles and four FA Cups in his first nine seasons in charge.
In 2003-04, he became the first manager since 1888-89 to lead a team through an entire top-flight season unbeaten.
But after winning the 2005 FA Cup, they had to wait another nine years - or 3,283 days - for their next silverware. It came as they beat Hull City to win the 2014 FA Cup, before winning the trophy again the following year.
Some Gunners fans turned on the 67-year-old Frenchman as a result of their league performances and they lost 10-2 on aggregate to Bayern Munich in the Champions League last 16 in March.
They finished the league season with five successive victories, but it was not enough to carry them above Liverpool to take the fourth and final Champions League spot.
Wenger told BBC's Football Focus on Saturday the criticism he has faced this season is "a disgrace" he will "never forget".
Anti-Wenger banners were held aloft by Gunners fans in the closing stages of a 3-1 defeat at West Brom on 18 March, while in the first half two planes towed banners over the ground - one criticising the manager and the other supporting him.
After that loss, Wenger said he had made a decision on his future which he would announce "very soon".
He faced significant criticism around that time, with former Blackburn and Celtic striker Chris Sutton telling BBC Radio 5 live on 20 March that Wenger was "an uncle who doesn't want to leave the party" and was running a "dictatorship".
Chelsea manager Antonio Conte, meanwhile, described Wenger as "one of the best managers in history".