The Northern Irish boss has made the request after the club survived in the Premier League, despite his side's credentials having come under huge scrutiny at the start of the season.
"Next week is going to be brilliant," said Rodgers. "I will be asking all the fans if they can wear as many Elvis Presley costumes as we can because when we got promoted the bookies said there was more chance of seeing Elvis Presley than us staying at this level.
"As a show of our achievement we'll ask for them to do that."
Rodgers was talking after seeing his team lose 2-0 against Manchester United earlier today.