Caretaker boss Mike Phelan expects the Hull board to make the right decision over the appointment of a full-time Tigers manager.
Phelan took temporary charge last month following the departure of Steve Bruce and, despite only having 13 senior players available, secured a second straight Premier League win at Swansea.
Newly-promoted Hull built on their impressive 2-1 victory over champions Leicester by winning 2-0 in south Wales, with substitute Shaun Maloney and Abel Hernandez scoring in the final 12 minutes.
And Phelan concedes he can only fulfil his ambition of landing the job on a full-time basis by winning matches.
"I am sure the people in charge will do the right thing," said Phelan, after Hull made it six points from six. I think everyone knows we have decisions to make on my future, the future of the staff and the ownership.
"Hopefully those decisions will be taken soon. It could be a busy time."