The news comes after Chelsea boss Rosenior revealed last week that he is in daily communication with the club’s co-sporting directors Paul Winstanley and Laurence Stewart about potential new additions in January.
“I think if we do [sign a player], it needs to be the right player,” Rosenior told reporters. “We need to be patient. I want to assess this group. It's really, really important to me.
“We still have time. We have conversations every day, myself and the board, about potential transfers, both out and in. But at the same time, I need to focus on the players in the building.
“If I feel it's the right time or the right player, then we'll make that decision.”
Chelsea have Moises Caicedo, Enzo Fernandez, Andrey Santos, Dario Essugo and Romeo Lavia as their current midfield options, though the latter two have struggled with injuries this season.