The Swedish broadcaster has teamed up with the Danish newspaper publisher Det Berlingske Officin in an attempt to finance the bid.
Between 51 per cent and 66 per cent of TV2's shares will be put up for sale when the station is privatised. The decision, expected by the end of November, will be based on programming content proposals and the Danish government will retain a minority interest in the public broadcaster.
TV4 is controlled by the Bonnier media group, while Det Berlingske Officin is part of the Norwegian conglomerate Orkla.