Wan-Bissaka, 21, is yet to make his international debut having pulled out of his first squad in September through injury. On Thursday, Southgate selected Trent Alexander-Arnold, Kieran Trippier and Joe Gomez as his options at right-back.
“I think Aaron is going to get his time in the national team soon enough. I don’t worry about him not being picked,” said Solskjaer.
“He is coping really well with the move he made from Crystal Palace in the summer. It wasn’t that long ago he was in the Palace reserves, now he is taking this club by storm because we all rate him highly as a person and as a player.
“I remember not being picked by Norway for the first time when there were lots of rumours I might be in. It was, “Thanks” (relief) because I was just getting used to the Norwegian league.”