Djokovic will play his first match in 42 days at around 2am when he faces Bjorn Fratangelo in the second round at Indian Wells.
The Serbian’s last match was his record-breaking seventh win at the Australian Open.
Twelve months ago, Djokovic’s career was at a crossroads as he struggled with an elbow problem.
But the re-hiring of Vajda as his coach turned his 2018 season around and he went to win Wimbledon and the US Open in emphatic style.
This week in California, Djokovic will be assisted by two of his brothers with Vajda not due to link up until the Miami Open later this month.
Djokovic said: “Marko, my middle brother is in the role of coach. And Marian is going to join the team in Miami.
“We arrived here eight days ago. Spent some time in San Diego, acclimatised to the time change and to the conditions here.
“It is a bit drier here in the desert. That’s why we come here a bit earlier and take time to get ready.”
Djokovic is a five-time champion in Indian Wells and can set a record sixth with a win.
However, speaking on Amazon Prime, Hantuchova expressed her surprise at Vajda’s absence.
She said: “It is a little bit of a question mark for me because Marian is the one that brought him to number one.
“Twelve months ago, Novak didn’t really know what to do with his tennis career.
“But he wants to feel comfortable and if that is what it takes to have his brothers here and do well then he knows what he is doing. These conditions definitely fit his game and he’s going to be ok.”
NOVAK DJOKOVIC – PROJECTED INDIAN WELLS DRAW (based on ATP rankings)
First Round – Bye
Second Round – Bjorn Fratangelo
Third Round – Nick Kyrgios
Fourth Round – Marco Cecchinato
Quarter Final – Dominic Thiem
Semi Final – Alexander Zverev
Final – Rafael Nadal