Representatives of the three projects met with the FIA early this week, where their respective financial and technical plans were discussed.
But Germany's Auto Motor und Sport said on Friday that the announcement has been delayed.
Correspondent Michael Schmidt said the delay is because F1's commercial rights holders, headed by chief executive Bernie Ecclestone, are yet to fully analyse the prospective new teams' projects.
And Formula One Management "has a right of veto", Schmidt said.
"Only when Bernie Ecclestone gives his approval will the applications be accepted," he added.