Speaking to the media, Southgate said: "The most important thing for him is rest, recovery. We don't have the players than you do at a club to be so cohesive. At this moment, for Jude and for the team, it's to recover and psychologically switch off.
"With Jude, he's played right to the end. He's super professional, so he's going to physically tick over but we need to see him before next Saturday.
"Have time with his family, clear his head. I'd rather not know. It's about psychological fitness. It's heavy, you have to be with the group as quickly as possible."