Thankfully, in Aleksandar Mitrovic, they have a player who is used to making that transition - although the Serbian striker will now want to buck the trend of his unwanted record.
A stunning 7-0 victory over Luton on Monday evening saw the Cottagers cement top spot in the second tier, with Mitrovic earning plaudits of his own.
Scoring a brace at Craven Cottage, the 27-year-old frontman scored his 43rd goal of the season, becoming the Championship's highest-ever goalscorer in a single campaign and the highest-scoring player in a single season in English football for over half a century.
He surpassed Guy Whittingham's 42 goals for Portsmouth in 1992/93, the most in the current 46-game league format, and only former Middlesbrough player George Camsell's tally remains superior to Mitrovic's in the division's history, setting the frankly unbeatable record of 59 back in 1927/28.
As a result, Mitrovic will be hoping to use some of those goals to help Fulham avoid relegation from the top flight next season.
Unfortunately, based on his track record, facing the drop next term could be written in the stars.
Mitrovic has spent seven years playing in English football, with the striker earning either promotion or suffering relegation in every one of those campaigns.
The former Newcastle United's striker's first season at St James' Park saw the club relegated from the top flight in 2015/16, before being promoted again the next year.
In 2017/18, Mitrovic spent the second half of the season on loan with Fulham, where he helped the club to earn promotion via the play-offs with 12 goals in 20 matches.
Since then, the 27-year-old has been part of the yo-yo culture at Craven Cottage, with two demotions and two promotions putting Fulham firmly in the category of inbetweeners.
While surely proud of the promotions achieved, Mitrovic will no doubt be hoping that he can end this run next term by helping Fulham finally establish themselves as a Premier League club for more than just one year.