That may come as a surprise to many United fans who watched the great Paul Scholes ply his trade at Old Trafford for 20 years.
Fellaini went head-to-head with Scholes during his days as an Everton player, but the revitalised Belgian still named Gerrard, who was undoubtedly an excellent passer at his peak but is not universally regarded as a better distributor of the ball than Scholes was.
Fellaini, speaking to Manchester United's official website, named Michael Carrick as the best passer he has ever played with - although he added the words "in this team" before picking the England international, suggesting he may have had someone else in mind.
The Belgium international, who has become an important player for the Red Devils under Louis van Gaal, was also asked to name the toughest tacklers he has played with and against.
Fittest and fastest teammates
He selected his old Everton teammate Phil Jagielka as the toughest tackler played against, and Phil Jones the toughest tackler he's played alongside.
Fellaini also revealed the two fastest players he has played with: Chris Smalling and James Wilson, both of Manchester United.
Meanwhile, former United captain Nemanja Vidic was named as the fittest player Fellaini has ever played against, and Sylvain Distin the fittest footballer played with.
He finished the question-and-answer session by naming the best finisher he has played with and against.
"Here, it's Wayne [Rooney]" Fellaini commented, before hailing his former Everton teammate Yakubu as another "great finisher".
Scholes was a better passer than Gerrard
Pretty standards answers from the 27-year-old, then, with the exception of the Gerrard comment.
Liverpool have an intense rivalry with both United and Everton, so the fact Fellaini still named Gerrard as the best passer he has ever played against speaks volumes about the former England skipper's talent.
Gerrard, who will join LA Galaxy this summer, has always had the knack of producing spectacular long-range passes - although how many of his so-called 'Hollywood balls' ended up reaching their intended targets over the years is another matter.
Scholes, on the other hand, could dictate the tempo of the biggest matches with his remarkable passing ability. He had that unteachable quality of never looking hurried in possession, regardless of how many players were around him or how quickly the ball was pinged into him. It always looked like he had more time on the ball than he actually did.
Both were class acts, though, and will always be remembered as Premier League legends.
Who was the better passer: Paul Scholes or Steven Gerrard? Have your say in the comments below!