The full-back has spent the last five years in the Italian capital after arriving from Juventus in the summer of 2019.
During his time with the Giallorossi, Spinazzola has made a total of 143 competitive appearances, contributing with seven goals and 21 assists.
However, Spinazzola faces an uncertain future at the Stadio Olimpico, with his contract set to expire at the end of the season.
According to ASRomaLive.it, Spinazzola's contract situation has piqued the interest of West London club, Fulham.
The report claims that the Cottagers have identified the Euro 2020 winner as a transfer target ahead of the summer transfer window.
Fulham boss Marco Silva can call upon USA international Antonee Robinson and AC Milan loanee Fode Ballo-Toure as his current left-back options.
Ballo-Toure is likely to return to his parent club this summer after being restricted to just seven appearances in all competitions.
Robinson has ultimately kept Ballo-Toure out of the squad, having established himself as one of the most highly-rated left-backs in the English top flight.
Despite being a key player in the Fulham side, Robinson could also be on the move this summer, amid speculation linking him with a move to Liverpool.
Should at least one of Ballo-Toure and Robinson depart, Fulham will be on the lookout for a new left-back and Spinazzola could prove to be a cost-effective option for the Premier League side.
The Italy international has seen talks over a new deal put on hold due to the uncertainty surrounding Roma's sporting director position.
The Giallorossi are still searching for a new sporting director to replace Tiago Pinto, who left the club at the beginning of February.
As a result, there is currently no one in place to take charge of contract negotiations, leaving Spinazzola edging closer to the exit door ahead of the summer window.
The full-back has featured in 28 competitive matches this season, chipping in with one goal and four assists.