Nigel Farage said he was taking a break as leader but left the door open for a return when the party elects a new leader in September while endorsing Suzanne Evans, the deputy chairman, to be a stand-in until the leadership challenge is complete.
Ukip's only sitting MP, Douglas Carswell, has ruled himself out of the race to be the party's next leader.
Mr Carswell, who held his Clacton seat on a reduced majority, said he would not seek to fill the post vacated by Nigel Farage, who announced his resignation after losing out in Thanet South.
Mr Farage said he was taking a break but left the door open for a return when the party elects a new leader in September while endorsing Suzanne Evans, the deputy chairman, to be a stand-in until the leadership challenge is complete.
Mr Carswell praised Mr Farage, the man behind his defection from the Conservatives, as a "heroic and inspirational figure" but told the Times (£): "I am not going to be running as leader."
The Democratic presidential candidate may also have shown his cards on his choice of running mate.
The US president also shared a post on Twitter accusing Dr Anthony Fauci of misleading the public over hydroxychloroquine.
Fears over an impending second wave of coronavirus dominates Wednesday’s front pages.