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Beard enjoyed huge success with Liverpool across two spells with the club - first winning back-to-back WSL titles, before overseeing their promotion from the second tier in 2022.
But with Liverpool sitting seventh and nine points above bottom side Crystal Palace, the club made the bold decision to part ways last week.
Liverpool felt they could not afford to stagnate with clubs in the WSL growing ever-stronger and Whiteley got off to the perfect start with a 1-0 victory over Palace.
She admits it is now an "important period" for Liverpool as they approach a crossroads, uncertain on what the future will be.
"It's important to give us a platform to work on.
"I think we can do that in the next couple of months.
There is lots to play for."
Liverpool's recruitment process is already under way as they look to appoint a permanent manager but Whiteley said she will "throw her name in the hat".
She has climbed up the ranks at Liverpool and was previously the head coach of the under-21s, before her first interim spell in charge in 2021.
She expects to be in temporary charge again until the end of the season but could Whiteley follow in the footsteps of Sunday's opponent Renee Slegers, who proved her worth in an interim spell at Arsenal before being offered the permanent job?
"It's definitely a role I'm interested in and will put in for.
"I am in a far better position having had the time with Matt [Beard] and working under him.
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