Numerous betting firms narrowed the odds on Adkins taking over at the Hawthorns in the past 48 hours but the Reading boss has admitted he is not even thinking about leaving the Royals.
West Brom have still not appointed a new manager, despite Steve Clarke being sacked almost six weeks ago.
Caretaker manager Keith Downing has won two league games on the bounce for the Baggies, although the Midlands club were toppled by Crystal Palace in the FA Cup yesterday.
Reading also lost in the cup and Adkins used the opportunity to distance himself from talk of leaving the Royals.
“The bookmakers are covering themselves and this has come out of the blue,” Adkins said.
“West Brom don’t have a manager but all my focus is to try and improve Reading. All the energy and focus is to us.
“We’ve got a fantastic board and the chairman will do everything that is right for the club. We’ve got to let the board get on with it.”