Wiegman has enjoyed unprecedented success in charge of the Lionesses, winning the European Championships in the summer of 2022 before leading them to the World Cup final last month.
There are two places open to European teams alongside hosts France and qualification will take place in the inaugural UEFA Women’s Nations League which begins this week and runs until February.
England are named as eligible hosts to qualify for a place, but they will first need to win their Nations League group, also containing Belgium, the Netherlands and Scotland.
If Team GB qualifies, players from England, Scotland, Wales and Northern Ireland would be eligible for selection.
“My full focus is on the Nations League campaign, but I would of course be very excited if the opportunity arises to manage Team GB next summer,” Wiegman said.
“It would be an honor. There is still a long way to go and I prefer to focus only on what we are sure of at the moment. We need to be at our best in the Nations League, where we will face three very strong teams in our group. We fully respect all our opponents, as they too will do whatever they can to win.
“The Olympic Games are a very special sporting event and, for women’s football, one of the biggest stages to play. That’s the goal, but we know it can’t happen if we don’t do our job in the Nations League. Until this is completed it would not be fair to talk further about Team GB, including speculation about the players and early preparations.