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Kazakhstan’s Rybakina, 25, has not played since the US Open in August, having withdrawn before her second-round match.
She split with long-term coach Vukov just before the final Grand Slam of the season.
“It’s something new for me. I’ve been with one coach for a long time. I want to learn,” Rybakina added.
“I’m really happy and we will see what we can do together.”
Rybakina claimed three titles in the first four months of the season but suffered a surprise semi-final defeat at SW19 to eventual champion Barbora Krejcikova.
She is set to compete at the season-ending WTA Finals in Saudi Arabia, which consists of the eight singles players who have accumulated the most ranking points over the season.
She faces Jasmine Paolini in her first pool match on Saturday.