Asked about the omission of the recently-injured Alonso, Conte confirmed his optimism over the wing-back, but cast doubt on Bakoyoko's availability.
"Yes, he's in contention for tomorrow's game", Conte said.
"Alvaro is a player with a good responsibility and a good maturity", Conte said.
The former Fiorentina man has missed Chelsea's last two Premier League fixtures and was also unavailable for their recent FA Cup fixture against Hull last night.
Antonio Conte says David Luiz, Ross Barkley and Tiemoue Bakayoko are all out of tomorrow's game. The game was very compact. "It was hard to find space". "Yes, it [Morata and Giroud playing together] could happen", Conte said.
Fellow new boy Emerson Palmier did extremely well to worm his way into the box before crossing for Giroud, who produced a tidy flicked finish. He's an international player, an important player. "We need goals from our strikers".
"This is a question for Gary, but at the same time, I think it's okay", he told reporters at his pre-match press conference. But, given Chelsea's upcoming games, not for very long. "It was very important for me to score this first goal and it relieves me a little bit".
But after such an emphatic victory, Conte admits he now has plenty to ponder for the visit of the La Liga leaders. The problem, though, is that he might not even get on if Conte takes the cotton wool option.
"For us, there is nothing to lose".
"I think we lost two bad games, especially against Watford", Conte added.
The Spanish left-back has been out of action since the 3-0 defeat to Bournemouth on 31 January. But, on the other hand, you must be excited.
"You hope to always have a game that you can dominate". To be honest, we expected a difficult game but it became easy because of the way we played.
Hull City manager Nigel Adkins was meanwhile effusive in his praise of a Chelsea side that "hurt us big time". For our prediction, we are going for a 2-1 win for the Blues at the best odds of 9/1 at BetVictor. They should dominate the ball, shouldn't face too much firepower from the visitors and should make this into a routine run-out.
Like number one goalkeeper Allan McGregor all season, Marshall in the Hull goal was largely let down by his defence as they surrendered the ball higher up the pitch.
Chelsea are just [1.22] to triumph in 90 minutes while Hull are  to leave the Stamford Bridge crowd stunned.