Dembele recently fuelled speculation over a move to Arsenal after being photographed in London alongside the likes of Henrikh Mkhitaryan and Pierre-Emerick Aubameyang and he could be reunited with his former Dortmund team mates this summer.
However, Keown doubts the move will materialise after the Gunners paid £56m for Aubameyang in January.
It remains to be seen whether Barcelona will accept Arsenal's proposal or if Man Utd will step-up their interest with a rival bid but Dembele would be a superb addition if either club could get a deal agreed before Thursday's deadline.
The transfer rumours linking Ousmane Dembele to Arsenal just can't end as current reports say that the gunners have made one last offer to Barcelona for the French global as Unai Emery strengthens his team ahead of the new season.
"I don't see it happening". It doesn't look likely.
Jennifer Garner and Daughter Violet Rescued on Kayaking Trip
The series is a comedy titled Camping and this misadventure with her daughter certainly sounds like a promo for the new show. Ironically, Garner is now preparing for the debut of her new HBO show, which is titled Camping .
This could open the door for Dembele to leave the club which would bring Arsenal into the mix, especially after FC Barcelona have signed an effective replacement for Dembele in one-time Arsenal target, Malcom.
Dembele has spent just one year the Camp Nou after moving from Borussia Dortmund last year where he played alongside Pierre-Emerick Aubameyang and was scouted by Sven Mislintat.
"Aubameyang is going to be a player that I think could really tear up the Premier League this season so we'll have to wait and see how that happens".
"I think Arsenal will be well prepared because the manager had longer to work with his players than everybody else who's been back to pre-season training".