The Blues winger has built up a close friendship with the Borussia Dortmund ace after playing together for years at various levels for England, and he suggested his club could reap the rewards if a transfer materialised.
Speaking in an Instagram Live chat with Michael Dapaah, he said: "I don't know [if he'll come]. Of course I would love it if he came to Chelsea.
"We've had a great partnership throughout, the way we play with each other is amazing. If he came the link up will still be there."
Rivals Manchester United still appear to be leading the way in the race to land the 20-year-old star, but Hudson-Odoi was full of praise for his international teammate.
He added: "Me and Sancho are mad close, we talk every other day, always seeing how each other are and how we're doing.
"We make sure that we're both doing well, obviously he's doing amazing and having a great season.
"We're always making sure each other is good. Obviously he's a great player, I love playing with him - he's a great player to play with.
"For England as well we've played all the way through the ages so the link up has always been there.
"I played against him sometimes in the Youth Cup games or we would play with each other for England, the link up has always been there and we've always loved playing with each other."