Kroos, who will retire this summer, played his final home game for Real in Saturday's draw with Real Betis.
Asked if Bellingham will replace Kroos, Ancelotti said: "I don't think so.
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"The closer we have Bellingham to the goal, the better it is for us. There is no player with Kroos' characteristics on the market, but we have to replace him in another way. We have players with a lot of quality and we have to adapt next season's game to its characteristics."
He also said: "Let's see... at an environmental level and a technical level. At an environmental level those who are here have to take more responsibility. At a technical level we have to see it. We can think that it could be a more vertical game, with players with more energy and less tempo of play."