The 23-year-old has emerged as a major target for the Gunners in recent weeks, with various reports suggesting that Mikel Arteta's men are confident of completing a deal worth around £50 million.
But Jordan has queried why the England international would be willing to move to north London when he could be presented with the prospect of a better move in the near future.
Speaking on talkSPORT, the bemused pundit said: “Why would he want to go there?
“With respect to Brighton it’s a step up but there may be other steps available to him that are far more compelling than Arsenal.
“If Ben White is now in the international squad and revered the way he is, because he’s a top quality player, why are Arsenal in the mix? Arsenal are all over the place.
“If you’re comparing and contrasting Brighton to Arsenal then yes it is a step up but if you’re comparing somebody who’s in the England squad that people in the game think is a Rolls Royce then what is the move he’s making to Arsenal for?”
Jordan also focused his criticism in on Gunners boss Arteta, adding: “They are a long way from where they need to be and there’s a lot of people looking at Arteta, me included, who started out thinking this guy’s got the chops but are maybe thinking he’s all theory and not enough practice.”
We’ve gathered the best of today’s Premier League speculation below...
1. Clarets hold Albrighton talks
Leicester City winger Marc Albrighton is in talks over a move to Burnley this summer. The 31-year old currently has one year left on contract and is keen to play more regularly. (Daily Mail) (Photo by Laurence Griffiths/Getty Images)
Photo: Laurence Griffiths
2. Man United close in on Varane
Manchester United have taken a massive step towards signing Raphael Varane. (ABC) (Photo by FRANCK FIFE/POOL/AFP via Getty Images)
Photo: FRANCK FIFE
3. Tarkowski in demand
Tottenham Hotspur head coach Nuno wants to sign Wolverhampton Wanderers and West Ham target James Tarkowski. (90min) (Photo by MOLLY DARLINGTON/POOL/AFP via Getty Images)
Photo: MOLLY DARLINGTON
4. Winks for sale
Tottenham Hotspur are willing to sell reported Aston Villa target Harry Winks. (Football.London) (Photo by Justin Setterfield/Getty Images)
Photo: Justin Setterfield