Chelsea face their London rivals on Wednesday, having drawn the first leg 0-0 at Stamford Bridge, with the winner facing either Manchester City or Bristol City at Wembley.
Eden Hazard trained with Chelsea, however the Blues are without both Alvaro Morata and Cesc Fabregas for the game against Arsenal.
Conte may make changes from the 4-0 league thumping of Brighton, with an FA Cup clash with Newcastle United to come on Sunday – which would open the door for Barkley.
Two players who will not feature against Arsenal, however, are Alvaro Morata and Cesc Fabregas, as confirmed by Conte in his pre-match press conference.
He said: ‘They are not available for the Arsenal game. Then I have to check a couple of situations. Morata has a problem in his back.
‘I have another night before deciding the starting XI. Every game is different, the opponents change and you must be intelligent to understand if it is right to continue in the same way with the same players.’
Most of Chelsea’s other stars, including Eden Hazard, are fit for selection for what will hopefully be a more entertaining and hotly contested match than the first leg.
David Luiz, who has fallen out of favour with Conte this campaign, was also training, and may also get a chance to impress.
Despite confirming his £15million move from Everton to Chelsea over a fortnight ago, Ross Barkley is yet to make his debut for the Blues.
However, the midfielder was training at full tilt on Tuesday, and could be in line for a first appearance against Arsenal in the Carabao Cup.