The 18-year-old was one of the standout performers on the pitch as the Blues demolished the League Two side in their third round clash.
And the Scotland youth international, who has made it clear that he is a fan of Fabregas in the past, caught the eye of his idol.
Gilmour had previously said: ‘The training starts at 9 every morning but I get to the training ground at 8.
‘I spend one hour watching videos of Fabregas, how he moves without the ball, how he pass the ball, how he picks his team-mates. He’s my favourite.’
He played amazing tonight. Personality is the most important at this age and he’s got it all right. Now time to keep learning and taking advantage of these games to prove the coach he’s good enough. 💪🏻👏🏻 @billygilmourrr https://t.co/tccibAWCKk
— Cesc Fàbregas Soler (@cesc4official) September 25, 2019
And in response to that quote resurfacing on social media, Fabregas tweeted: ‘He played amazing tonight. Personality is the most important at this age and he’s got it all right.
‘Now time to keep learning and taking advantage of these games to prove the coach he’s good enough.’
Chelsea boss Frank Lampard also picked out Gilmour for praise after the victory.
He said: ‘It was pleasing on a lot of levels. It was not complete. But I’m pleased some players who have not been playing so many minutes played, some debuts, and the young lads who came on improved the team which was nice.
‘It’s nice to get that first home win. I thought Gilmour ran the game from midfield’.
Chelsea face Man Utd in the last 16 of the EFL Cup, but Lampard refused ‘to talk Man Utd down’ after they scraped through on penalties against Rochdale.