The former Gunners midfielder believes that, considering his recent signings, the club would be ill-advised to leave their reported transfer kitty in the Frenchman's arms
The former Gunners midfielder, who made 150 appearances for the club, has criticised the Arsenal boss' recent transfer activity, following chief executive Ivan Gazidis' admission that the club will be excercising its financial firepower this summer.
Robson believes the north London outfit should think twice before loosening their purse strings for the veteran manager.
"I am not expecting any marquee signings at Arsenal. There is a lot of talk about it, but I don't know if I would trust Arsene Wenger with that money" Robson told TalkSPORT.
"Over the last few years some of the players that he has said were going to be world class haven't ended up like that - people like Philippe Senderos, Denilson, Marouane Chamakh and Carlos Vela for example."
The 48-year-old backed up his argument with recent examples of Wenger's spending.
"Over the last two seasons they have spent some money on Olivier Giroud, Lukas Podolski, Mikel Arteta, Nacho Monreal, Per Mertesacker and Andre Santos. These haven't been world class players either," he continued.
"Arsene Wenger doesn't appear to want to sign the top-class players; he goes out and says: 'I can buy you cheaper players for a better price who are going to be world-class players in the future', but that just hasn't been the case.
"Some of the players who he has bought have regressed under him, such as Andrey Arshavin and Thomas Vermaelen. Nacho Monreal hasn't been a good signing, Andre Santos has been hopeless; Per Mertesacker and Lukas Podolski are past their best and Gervinho is another player who they spent a lot of money on and hasn't really come to the fore."
The Gunners have been linked with moves for Manchester United striker Wayne Rooney and Everton midfielder Marouane Fellaini among others so far this summer.