Following the retirement of former skipper Wayne Rooney from international football, Southgate is yet to make a permanent replacement and has instead opted to rotate the armband.
"Let's forget this idea of passing around the England captaincy and give the armband to Dele Alli now," he writes in his column for Daily Mirror.
"I know he can be spiteful, he can be antsy and that even his manager Mauricio Pochettino had a little pop the other day.
"But this is the boy who needs making into a man and if Gareth Southgate were to make him captain ahead of the World Cup finals we'd see the boy fly.
"Some of you will say the captaincy would take away some of his flare but that's utter tosh and I'm sick of players being mollycoddled."