Djokovic was unable to complete a television interview he had agreed to after his victory over Seppi.
Djokovic only arrived in Perth from Abu Dhabi late on Sunday and said he was troubled by jet lag.
"I felt this morning that I was dream-walking," he said.
"I broke the ice after the first set and started to feel better."
Djokovic and Ana Ivanovic held an unassailable 2-0 in the tie against the Italian pairing of Seppi and Francesca Schiavone.
Ivanovic had begun the day by beating Schiavone 6-0 6-4.
Djokovic is taking part in the round-robin teams event to be guaranteed at least three matches in his build-up to the Australian Open, which begins on January 14.