Tottenham Hotspur and Arsenal are aiming to finish in the top four of the Premier League table this season.
Cascarino believes that Tottenham will end up third in the standings this campaign, and that Manchester United will finish fourth.
The former Republic of Ireland international striker does not expect Arsenal to finish in the Champions League places.
Cascarino wrote in The Times: “Tottenham will finish farther off the lead than they are now but are still strong enough to finish third.
“They will be in their new stadium and the fans will be on their side and enthusiastic.”
Cascarino added: “I have Manchester United just taking fourth ahead of Arsenal.”
The former Chelsea striker further wrote: “Arsenal will finish fifth, which I think is about fair for their performances this season, and Chelsea are down in sixth.”
Top-four race
Arsenal are third in the Premier League table at the moment, two points ahead of fourth-placed Tottenham and Manchester United in fifth.
Chelsea are only three points behind London rivals Arsenal in sixth place, and the Blues are very much in the race for the Champions League places.
There is a very good chance that the race for the top-four spots will go down to the wire.
As for the Premier League title race, it is clearly between Liverpool and Manchester City, who are currently first and second respectively in the standings.
Receive exclusive football transfer news and updates twice a week to your mailbox
