The Football Association have dealt a blow to coach Hope Powell's wish for a British women's team to compete at the Rio Olympics.
Alex Horne, the general secretary of the FA, said it was "unlikely" that the concept of a unified Team GB would be seen in 2016.
The men's and women's football teams qualified for 2012 because they received host nation berths.
But concerns over unifying the four home nations over the longer term meant GB's involvement was only seen as a one-off arrangement.
Earlier women's head coach Powell expressed her hope that a British team could compete in 2016 following her side's quarter-final loss to Canada.
But Horne told The Times: "Within the men's game, it's not going to happen again. On the women's side I'm going to say it's unlikely, for the same reason."
FA chairman David Bernstein told Sky Sports News he would like to see the men and women compete in Rio and added it would be harder to get the men to form a team.